II!
MAT1512/101/0/2022 II!
II!
II!
II!
II!
Tutorial Letter 101/0/2025
0 0 II!
II!
Calculus A 0 II!
MAT1512 II!
II!
Year Module
0 II!
II!
II!
Name of Department
0 0 II!
II!
II!
IMPORTANT0INFORMATION II!
Please0register0on0myUnisa,0activate0your0myLife0email0account0and0make0sure0that0yo
u0have0regular0access0to0the0myU nisa0module website,0MAT1512-2022-
II! II!
Y1,0as0well0as0your0group0website. II!
Note:0This0is0a0fully0online0module.0It0is,0therefore,0only0available0on0myUnisa. II!
II!
II!
BARCODE II!
II!
II!
II!
II!
, MAT1512/101
II!
II!
CONTENTS
II!
II! II!
II!
Page 1 INTRODUCTION .............................................................................................. Error! Bookmark not defined.
II! II! II!
1.1 Getting0started .................................................................................................................................................... 3
II! II!
2 OVERVIEW0OF0MAT1512 ..................................................................................................................................... 3
II! II!
2.1 Purpose .............................................................................................................................................................. 3
II! II!
2.2 Outcomes ........................................................................................................................................................... 4
II! II!
3 CURRICULUM0TRANSFORMATION.................................................................................................................... 8
II! II!
4 LECTURER(S)0AND0CONTACT0DETAILS ........................................................................................................... 9
II! II!
4.1 Lecturer(s) .......................................................................................................................................................... 9
II! II!
4.2 Department......................................................................................................................................................... 8
II! II!
4.3 University............................................................................................................................................................ 8
II! II!
5 RESOURCES........................................................................................................................................................ 8
II! II!
5.1 Joining0myUnisa .................................................................................................................................................. 8
II!
5.2 Prescribed0book(s) .............................................................................................................................................. 9
II!
5.3 Recommended0book(s) ...................................................................................................................................... 1
II! II!
5.4 Electronic0reserves0(e-reserves) ......................................................................................................................... 1
II! II!
5.5 Library0services0and0resources........................................................................................................................... 1
II! II!
6 STUDENT0SUPPORT0SERVICES .............................................................................................. 11
II! II! II!
6.1 II! First-Year0Experience0Programme0@0Unisa ................................................................................. 11
II! II! II!
7. HOW0TO0STUDY0ONLINE ......................................................................................................... 12
II! II! II!
7.1 What0does0it0mean0to0study0fully0online? ..................................................................................... 12
II! II! II!
7.2 myUnisa0tools ............................................................................................................................. 12
II! II! II!
8. ASSESSMENT ........................................................................................................................... 12
II! II! II!
8.1 Assessment0plan ........................................................................................................................ 14
II! II! II!
8.2 Year0mark0and0final0examination/other0options ........................................................................... 16
II! II! II!
9. CONCLUSION ............................................................................................................................ 17
II! II! II!
10. ADDENDUM:0Assignments. ..................................................................................................... 18
II! II! II!
2
II! II!
1 II! INTRODUCTION II!
, MAT1512/101
Dear0Student II!
Welcome0to0the0MAT15120module.0We0trust0that0you0will0find0the0mathematics0studied0in0this0module
0interesting0and0useful,0and0that0you0will0enjoy0doing0it.
II! II!
II!
This0tutorial0letter0contains0important0information0about0the0scheme0of0work,0resources0and0assign
ments0for0this0module0as0well0as0exam0admission.0We0urge0you0to0read0it0carefully0before0working0t
II!
hrough0the0study0material,0preparing0the0assignment(s),0preparing0for0the0examination0 and0addres
II! II!
II!
sing0questions0to0your0lecturers.
II! II!
In0this0tutorial0letter,0you0will0find0the0assignments0as0well0as0instructions0on0the0preparation0and0su
bmission0of0the0assignments.0This0tutorial0letter0also0provides0all0the0information0you0need0with0reg
II!
ard0to0the0prescribed0study0material0and0other0resources.0Please0study0this0information0 carefully0a
II! II!
II!
nd0make0sure0that0you0obtain0the0prescribed0material0as0soon0as0possible.
II! II!
You0will0access0all0files0online,0a0number0of0tutorial0letters0for0example,0solutions0to0assignments,0d
uring0the0semester/0year.0These0tutorial0letters0will0be0uploaded0on0 myUnisa,0under0Additional0
II! II!
Resources0and0Lessons0tools0on0myUnisa0platform.0A0tutorial0letter0is0our0way0of0communicating0with0
II!
II!
you0about0teaching,0learning0and0assessment.
II! II!
Right0from0the0start0we0would0like0to0point0out0that0you0must0read0all0the0tutorial0letters0you0access0f
rom0the0module0site0immediately0and0carefully,0as0they0always0contain0important0and,0sometimes0u
II!
II!
rgent0information.
II! II!
Because0this0is0a0fully0online0module,0you0will0need0to0use0myUnisa0to0study0and0complete0the0lear
ning0activities0for0this0course.0Please0visit0the0website0for0MAT15120on0myUnisa0frequently.
II!
II!
The0website0for0your0module0is0MAT1512-22-Y1.
II! II!
II!
II!
1.1 II! Getting0started II!
Owing0to0the0nature0of0this0module,0you0can0read0about0the0module0and0find0your0study0material0onlin
e.0Go0to0the0website0at0https://my.unisa.ac.za0and0log0in0using0your0student0number0and0password.0C
II!
lick0on0“myModules”0at0the0top0of0the0webpage0and0then0on0“Sites”0in0the0top0right0 corner.0In0the0new0
II! II!
window,0click0on0the0grey0Star0icon0next0to0the0modules0you0want0displayed0on0your0 navigator0 bar.0
II! II! II!
Close0 the0 window0 in0 the0 right0 corner.0 The0 select0 the0 option0 “Reload0 to0 see0your0updated0favorite
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
0sites”.0Now0go0to0your0navigation0bar0and0click0on0the0module0you0want0to0open.
II! II!
II!
II!
II!
We0wish0you0every0success0with0your0studies! II!
3 II!
2 OVERVIEW0OF0MAT1512 II!
2.1 Purpose II!
This0module0will0be0able0useful0to0students0interested0in0developing0the0basic0skills0in0Calculus0which0
can0be0applied0in0the0natural0sciences0and0social0sciences.0Students0who0have0completed0this0modul
II!
II!
e0 0 successfully0 will0 0 have0 0 an0 0 understanding0 0 of0 0 the0 0 basic0 0 ideas0 of0 0 Calculus.
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
This0module0is0useful0to0students0interested0in0developing0the0basic0skills0in0differential0and0integral
, MAT1512/101
calculus.0 Differential0and0integral0calculus0are0essential0for0physical,0life0and0economic0sciences.0
0 II!
Students0credited0with0this0module0will0have0a0firm0understanding0of0the0limit,0continuity0at0a0point,0
II!
differentiation0and0integration,0together0with0a0background0in0the0basic0techniques0and0some0appli0catio
II!
ns0of0Calculus. II!
2.1.1 Learning0Assumptions:0 The0learning0is0based0on0the0assumption0that0students0are0alrea
II! II! II!
dy0competent0in0terms0of0the0following0outcomes0or0areas0of0learning0and0must:
II! II!
– Have0a0Senior0Certificate0or0equivalent0qualification0(as0required)0for0further0study. II!
– Have0obtained0an0NQF/HEQF0Level0equivalent0to040with0the0ability0to: II!
– Be0able0to0learn0from0predominantly0written0material0in0the0language0of0tuition II!
– Take0responsibility0for0their0own0progress0and0independently0adjust0to0the0learning0
environment
II! II!
– Have0basic0computer0skills0like0using0a0mouse,0keyboard0and0windows0features II!
– Demonstrate0an0understanding0of0the0most0current0topics0in0mathematics0including II!
∗0Functions II!
∗0The0ability0to0algebraically0manipulate0real0numbers0and0solve0equations. II!
∗0An0ability0to0sketch0graphs0and0find0equations0from0these0graphs. II!
∗0Substantive0knowledge0about0basic0trigonometry II!
∗0Knowledge0about0the0following0mathematical0concepts:0
absolute0values,0partial0fraction s0and0inequalities.
II! II! II!
Recognition0of0prior0learning0will0take0place0in0accordance0with0the0institution’s0policy0 an II!
d0guidelines.0
II!
Recognition0takes0place,0where0prior0learning0corresponds0to0the0re0quired0NQF-
II!
HEQF0level0and0in0terms0of0applied0competencies0relevant0to0the0content0and0outcomes0
of0the0qualification,0at0the0discretion0of0the0department.
II! II!
2.1.2 Range0statement0for0the0module:0
II! II!
The0techniques0selected0involve0polynomial,0ratio0nal,0trigonometric,0exponential0and0lo
II!
garithmic0functions0and0their0composites.0 This0intr II!
oductory0calculus0module0covers0differentiation0and0integration0of0functions0of0one0varia
II!
II!
ble,0with0applications.
II! II!
II!
2.2 Outcomes II!
2.2.1 Specific0outcome01:
II! II!
Demonstrate0knowledge0of0the0concept0of0a0limit0of0a0function0and0its0application.0Range: II!
The0knowledge0includes0limits0of0one0variable0and0an0introduction0to0limits0of0two0or0more0variables. II!
4 II!
II!
II!
Assessment0criteria II!
– A0formal0definition0of0the0limit0with0the0correct0mathematical0notation0is0given0which0
embraces0an0understanding0of0the0limit0as0the0y-value0of0a0function.
II! II!
MAT1512/101/0/2022 II!
II!
II!
II!
II!
Tutorial Letter 101/0/2025
0 0 II!
II!
Calculus A 0 II!
MAT1512 II!
II!
Year Module
0 II!
II!
II!
Name of Department
0 0 II!
II!
II!
IMPORTANT0INFORMATION II!
Please0register0on0myUnisa,0activate0your0myLife0email0account0and0make0sure0that0yo
u0have0regular0access0to0the0myU nisa0module website,0MAT1512-2022-
II! II!
Y1,0as0well0as0your0group0website. II!
Note:0This0is0a0fully0online0module.0It0is,0therefore,0only0available0on0myUnisa. II!
II!
II!
BARCODE II!
II!
II!
II!
II!
, MAT1512/101
II!
II!
CONTENTS
II!
II! II!
II!
Page 1 INTRODUCTION .............................................................................................. Error! Bookmark not defined.
II! II! II!
1.1 Getting0started .................................................................................................................................................... 3
II! II!
2 OVERVIEW0OF0MAT1512 ..................................................................................................................................... 3
II! II!
2.1 Purpose .............................................................................................................................................................. 3
II! II!
2.2 Outcomes ........................................................................................................................................................... 4
II! II!
3 CURRICULUM0TRANSFORMATION.................................................................................................................... 8
II! II!
4 LECTURER(S)0AND0CONTACT0DETAILS ........................................................................................................... 9
II! II!
4.1 Lecturer(s) .......................................................................................................................................................... 9
II! II!
4.2 Department......................................................................................................................................................... 8
II! II!
4.3 University............................................................................................................................................................ 8
II! II!
5 RESOURCES........................................................................................................................................................ 8
II! II!
5.1 Joining0myUnisa .................................................................................................................................................. 8
II!
5.2 Prescribed0book(s) .............................................................................................................................................. 9
II!
5.3 Recommended0book(s) ...................................................................................................................................... 1
II! II!
5.4 Electronic0reserves0(e-reserves) ......................................................................................................................... 1
II! II!
5.5 Library0services0and0resources........................................................................................................................... 1
II! II!
6 STUDENT0SUPPORT0SERVICES .............................................................................................. 11
II! II! II!
6.1 II! First-Year0Experience0Programme0@0Unisa ................................................................................. 11
II! II! II!
7. HOW0TO0STUDY0ONLINE ......................................................................................................... 12
II! II! II!
7.1 What0does0it0mean0to0study0fully0online? ..................................................................................... 12
II! II! II!
7.2 myUnisa0tools ............................................................................................................................. 12
II! II! II!
8. ASSESSMENT ........................................................................................................................... 12
II! II! II!
8.1 Assessment0plan ........................................................................................................................ 14
II! II! II!
8.2 Year0mark0and0final0examination/other0options ........................................................................... 16
II! II! II!
9. CONCLUSION ............................................................................................................................ 17
II! II! II!
10. ADDENDUM:0Assignments. ..................................................................................................... 18
II! II! II!
2
II! II!
1 II! INTRODUCTION II!
, MAT1512/101
Dear0Student II!
Welcome0to0the0MAT15120module.0We0trust0that0you0will0find0the0mathematics0studied0in0this0module
0interesting0and0useful,0and0that0you0will0enjoy0doing0it.
II! II!
II!
This0tutorial0letter0contains0important0information0about0the0scheme0of0work,0resources0and0assign
ments0for0this0module0as0well0as0exam0admission.0We0urge0you0to0read0it0carefully0before0working0t
II!
hrough0the0study0material,0preparing0the0assignment(s),0preparing0for0the0examination0 and0addres
II! II!
II!
sing0questions0to0your0lecturers.
II! II!
In0this0tutorial0letter,0you0will0find0the0assignments0as0well0as0instructions0on0the0preparation0and0su
bmission0of0the0assignments.0This0tutorial0letter0also0provides0all0the0information0you0need0with0reg
II!
ard0to0the0prescribed0study0material0and0other0resources.0Please0study0this0information0 carefully0a
II! II!
II!
nd0make0sure0that0you0obtain0the0prescribed0material0as0soon0as0possible.
II! II!
You0will0access0all0files0online,0a0number0of0tutorial0letters0for0example,0solutions0to0assignments,0d
uring0the0semester/0year.0These0tutorial0letters0will0be0uploaded0on0 myUnisa,0under0Additional0
II! II!
Resources0and0Lessons0tools0on0myUnisa0platform.0A0tutorial0letter0is0our0way0of0communicating0with0
II!
II!
you0about0teaching,0learning0and0assessment.
II! II!
Right0from0the0start0we0would0like0to0point0out0that0you0must0read0all0the0tutorial0letters0you0access0f
rom0the0module0site0immediately0and0carefully,0as0they0always0contain0important0and,0sometimes0u
II!
II!
rgent0information.
II! II!
Because0this0is0a0fully0online0module,0you0will0need0to0use0myUnisa0to0study0and0complete0the0lear
ning0activities0for0this0course.0Please0visit0the0website0for0MAT15120on0myUnisa0frequently.
II!
II!
The0website0for0your0module0is0MAT1512-22-Y1.
II! II!
II!
II!
1.1 II! Getting0started II!
Owing0to0the0nature0of0this0module,0you0can0read0about0the0module0and0find0your0study0material0onlin
e.0Go0to0the0website0at0https://my.unisa.ac.za0and0log0in0using0your0student0number0and0password.0C
II!
lick0on0“myModules”0at0the0top0of0the0webpage0and0then0on0“Sites”0in0the0top0right0 corner.0In0the0new0
II! II!
window,0click0on0the0grey0Star0icon0next0to0the0modules0you0want0displayed0on0your0 navigator0 bar.0
II! II! II!
Close0 the0 window0 in0 the0 right0 corner.0 The0 select0 the0 option0 “Reload0 to0 see0your0updated0favorite
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
0sites”.0Now0go0to0your0navigation0bar0and0click0on0the0module0you0want0to0open.
II! II!
II!
II!
II!
We0wish0you0every0success0with0your0studies! II!
3 II!
2 OVERVIEW0OF0MAT1512 II!
2.1 Purpose II!
This0module0will0be0able0useful0to0students0interested0in0developing0the0basic0skills0in0Calculus0which0
can0be0applied0in0the0natural0sciences0and0social0sciences.0Students0who0have0completed0this0modul
II!
II!
e0 0 successfully0 will0 0 have0 0 an0 0 understanding0 0 of0 0 the0 0 basic0 0 ideas0 of0 0 Calculus.
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
This0module0is0useful0to0students0interested0in0developing0the0basic0skills0in0differential0and0integral
, MAT1512/101
calculus.0 Differential0and0integral0calculus0are0essential0for0physical,0life0and0economic0sciences.0
0 II!
Students0credited0with0this0module0will0have0a0firm0understanding0of0the0limit,0continuity0at0a0point,0
II!
differentiation0and0integration,0together0with0a0background0in0the0basic0techniques0and0some0appli0catio
II!
ns0of0Calculus. II!
2.1.1 Learning0Assumptions:0 The0learning0is0based0on0the0assumption0that0students0are0alrea
II! II! II!
dy0competent0in0terms0of0the0following0outcomes0or0areas0of0learning0and0must:
II! II!
– Have0a0Senior0Certificate0or0equivalent0qualification0(as0required)0for0further0study. II!
– Have0obtained0an0NQF/HEQF0Level0equivalent0to040with0the0ability0to: II!
– Be0able0to0learn0from0predominantly0written0material0in0the0language0of0tuition II!
– Take0responsibility0for0their0own0progress0and0independently0adjust0to0the0learning0
environment
II! II!
– Have0basic0computer0skills0like0using0a0mouse,0keyboard0and0windows0features II!
– Demonstrate0an0understanding0of0the0most0current0topics0in0mathematics0including II!
∗0Functions II!
∗0The0ability0to0algebraically0manipulate0real0numbers0and0solve0equations. II!
∗0An0ability0to0sketch0graphs0and0find0equations0from0these0graphs. II!
∗0Substantive0knowledge0about0basic0trigonometry II!
∗0Knowledge0about0the0following0mathematical0concepts:0
absolute0values,0partial0fraction s0and0inequalities.
II! II! II!
Recognition0of0prior0learning0will0take0place0in0accordance0with0the0institution’s0policy0 an II!
d0guidelines.0
II!
Recognition0takes0place,0where0prior0learning0corresponds0to0the0re0quired0NQF-
II!
HEQF0level0and0in0terms0of0applied0competencies0relevant0to0the0content0and0outcomes0
of0the0qualification,0at0the0discretion0of0the0department.
II! II!
2.1.2 Range0statement0for0the0module:0
II! II!
The0techniques0selected0involve0polynomial,0ratio0nal,0trigonometric,0exponential0and0lo
II!
garithmic0functions0and0their0composites.0 This0intr II!
oductory0calculus0module0covers0differentiation0and0integration0of0functions0of0one0varia
II!
II!
ble,0with0applications.
II! II!
II!
2.2 Outcomes II!
2.2.1 Specific0outcome01:
II! II!
Demonstrate0knowledge0of0the0concept0of0a0limit0of0a0function0and0its0application.0Range: II!
The0knowledge0includes0limits0of0one0variable0and0an0introduction0to0limits0of0two0or0more0variables. II!
4 II!
II!
II!
Assessment0criteria II!
– A0formal0definition0of0the0limit0with0the0correct0mathematical0notation0is0given0which0
embraces0an0understanding0of0the0limit0as0the0y-value0of0a0function.
II! II!
