MATH
MATH 126 – Calculus II
Syllabus
Spring 2026
General Information
MATH 126 (Calculus II) is a 4 credit hour course. We will be using Canvas this
semester to communicate with students. Students are expected to check Canvas, as
well as their KU email, formunicate with students. announcements regarding the
course on a regular basis. Students should regularly check the course Canvas page
for graded work, course assignments, course announcements, and more detailed
course content/materials.
Course Description
Techniques of integration, including integration by parts. Applications of integration,
includingApplications of integration, including volume, arc length, work and average
value. Infinite sequences and series and Taylor series. Polar coordinates, vectors and
the geometry of space. Open for only 2 hours of credit to students with credit in
MATH 116. Not open for credit to students with credit in MATH 146. Prerequisite:
MATH 116, MATH 125, or MATH 145, with a grade of C- or higher. Additionally, if
enrolled in MATH 197 (required with 26752) also, then this is offered to provide
opportunities for deeper understanding of freshman-sophomore mathematics
through interactive learning. Topics will vary. May be repeated for additional credit.
Prerequisite: MATH 116, MATH 125, or MATH 145, with a grade of C- or higher.
Instructional Mode and Credit Hours
This course is in-person and fulfills 4 credit hours. Consistent with KU policy and the
federalConsistent with KU policy and the federal definition of credit hour, this means
you should expect to spend at least 12 hours a week on this course over the
semester. If you are enrolled in MATH 197 then this course fulfills 5 credit hours and
so this means you should expect to spend at least 15 hours a week on this course.
Required Materials
Achieve Access: An online homework tool - costs if not taken MATH 125 at KU,
and includes access to the ebook, Early Transcendentals (4th edition) by
Rogawski & Adams. You will have access to Achieve through Canvas. You
should use the link on Canvas and if asked your KU email address.
iClicker App: You should use the link on Canvas for iClicker; if you do not have
an account, you should create one using your KU email address. If you have
multiple KU email aliases, you should ask your instructor which one to use. You
will need to download the iClicker app from the iClicker website. You should
not be charged for iClicker for this course.
MATH 126 – Calculus II Syllabus Spring 2026
, 11
Calculator: Only basic/scientific calculators in this course. Calculators must
not be ableCalculators must not be able to perform calculus calculations (limits,
derivatives, integrals) and must have no graphing capabilities. Recommended
calculator: TI-30XIIS.
Course Learning Outcomes:
This course satisfies either N Natural Science (N), BA Quantitative Reasoning (QR).
Upon completion of this course, students will be able to:
1.1. Understand integrals as quantities and use them to compute volumes, mass, average
value andUnderstand integrals as quantities and use them to compute volumes,
mass, average value and work.work.
2.2. Evaluate integrals using an appropriate method (integration by parts, trigonometric
substitu-Evaluate integrals using an appropriate method (integration by parts,
trigonometric substitution, trigonometric integrals or partial fractions). tion,
trigonometric integrals or partial fractions).
3.3. Determine whether a definite integral is improper and in this case whether the integral
convergesDetermine whether a definite integral is improper and in this case
whether the integral converges or diverges. or diverges.
4.4. Determine whether a sequence converges or diverges.Determine whether a
sequence converges or diverges.
5.5. Determine whether a series converges or diverges, by applying an appropriate
series test (Determine whether a series converges or diverges, by applying an
appropriate series test (nnthth term divergence test, integral test, direct/limit
comparison test, alternating series test, ra-term divergence test, integral test,
direct/limit comparison test, alternating series test, ratio/root test).tio/root test).
6.6. Express functions as a power series and/or Taylor/Maclaurin series. Express
functions as a power series and/or Taylor/Maclaurin series.
7.7. Find parameterizations of curves and calculate slopes/derivatives given a
parametric curve.Find parameterizations of curves and calculate slopes/derivatives
given a parametric curve.
8.8. Use polar coordinates and compute derivatives and areas in polar coordinates. Use
polar coordinates and compute derivatives and areas in polar coordinates.
9.9. Understand and use vectors to represent lines in 3-dimensions, and compute the
equation of aUnderstand and use vectors to represent lines in 3-dimensions, and
compute the equation of a plane.plane.
10.10. Calculate dot and cross products and understand their geometric
connections.Calculate dot and cross products and understand their geometric
connections.
MATH 126 – Calculus II Syllabus Spring 20262
MATH 126 – Calculus II
Syllabus
Spring 2026
General Information
MATH 126 (Calculus II) is a 4 credit hour course. We will be using Canvas this
semester to communicate with students. Students are expected to check Canvas, as
well as their KU email, formunicate with students. announcements regarding the
course on a regular basis. Students should regularly check the course Canvas page
for graded work, course assignments, course announcements, and more detailed
course content/materials.
Course Description
Techniques of integration, including integration by parts. Applications of integration,
includingApplications of integration, including volume, arc length, work and average
value. Infinite sequences and series and Taylor series. Polar coordinates, vectors and
the geometry of space. Open for only 2 hours of credit to students with credit in
MATH 116. Not open for credit to students with credit in MATH 146. Prerequisite:
MATH 116, MATH 125, or MATH 145, with a grade of C- or higher. Additionally, if
enrolled in MATH 197 (required with 26752) also, then this is offered to provide
opportunities for deeper understanding of freshman-sophomore mathematics
through interactive learning. Topics will vary. May be repeated for additional credit.
Prerequisite: MATH 116, MATH 125, or MATH 145, with a grade of C- or higher.
Instructional Mode and Credit Hours
This course is in-person and fulfills 4 credit hours. Consistent with KU policy and the
federalConsistent with KU policy and the federal definition of credit hour, this means
you should expect to spend at least 12 hours a week on this course over the
semester. If you are enrolled in MATH 197 then this course fulfills 5 credit hours and
so this means you should expect to spend at least 15 hours a week on this course.
Required Materials
Achieve Access: An online homework tool - costs if not taken MATH 125 at KU,
and includes access to the ebook, Early Transcendentals (4th edition) by
Rogawski & Adams. You will have access to Achieve through Canvas. You
should use the link on Canvas and if asked your KU email address.
iClicker App: You should use the link on Canvas for iClicker; if you do not have
an account, you should create one using your KU email address. If you have
multiple KU email aliases, you should ask your instructor which one to use. You
will need to download the iClicker app from the iClicker website. You should
not be charged for iClicker for this course.
MATH 126 – Calculus II Syllabus Spring 2026
, 11
Calculator: Only basic/scientific calculators in this course. Calculators must
not be ableCalculators must not be able to perform calculus calculations (limits,
derivatives, integrals) and must have no graphing capabilities. Recommended
calculator: TI-30XIIS.
Course Learning Outcomes:
This course satisfies either N Natural Science (N), BA Quantitative Reasoning (QR).
Upon completion of this course, students will be able to:
1.1. Understand integrals as quantities and use them to compute volumes, mass, average
value andUnderstand integrals as quantities and use them to compute volumes,
mass, average value and work.work.
2.2. Evaluate integrals using an appropriate method (integration by parts, trigonometric
substitu-Evaluate integrals using an appropriate method (integration by parts,
trigonometric substitution, trigonometric integrals or partial fractions). tion,
trigonometric integrals or partial fractions).
3.3. Determine whether a definite integral is improper and in this case whether the integral
convergesDetermine whether a definite integral is improper and in this case
whether the integral converges or diverges. or diverges.
4.4. Determine whether a sequence converges or diverges.Determine whether a
sequence converges or diverges.
5.5. Determine whether a series converges or diverges, by applying an appropriate
series test (Determine whether a series converges or diverges, by applying an
appropriate series test (nnthth term divergence test, integral test, direct/limit
comparison test, alternating series test, ra-term divergence test, integral test,
direct/limit comparison test, alternating series test, ratio/root test).tio/root test).
6.6. Express functions as a power series and/or Taylor/Maclaurin series. Express
functions as a power series and/or Taylor/Maclaurin series.
7.7. Find parameterizations of curves and calculate slopes/derivatives given a
parametric curve.Find parameterizations of curves and calculate slopes/derivatives
given a parametric curve.
8.8. Use polar coordinates and compute derivatives and areas in polar coordinates. Use
polar coordinates and compute derivatives and areas in polar coordinates.
9.9. Understand and use vectors to represent lines in 3-dimensions, and compute the
equation of aUnderstand and use vectors to represent lines in 3-dimensions, and
compute the equation of a plane.plane.
10.10. Calculate dot and cross products and understand their geometric
connections.Calculate dot and cross products and understand their geometric
connections.
MATH 126 – Calculus II Syllabus Spring 20262
