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Ahmedghoor

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Test 2 Prep (MAM1000W)

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The test will cover material from everything that wasn't covered in test 1 up to what was covered by the end of last term (excluding related rates), which corresponds to the coming week's homework. The detailed breakdown of it is as follows: • Inverse functions, logs and inverse trig functions (parts of Stewart 6.1,6.3 and 6.6) • Proof by contradiction (Resource book) • Proof by induction (Resource book) • The limit of a function (Stewart 1.5) • Calculating limits using the limi...

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  •  • 12 pages • 
  • by ahmedghoor • 
  • uploaded  23-01-2021
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Test 3 Prep (MAM1000W)

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Here is a list of the topics that we will be testing: • Related Rates (Stewart 2.8) • Maximum and Minimum Values (Stewart 3.1) • The Mean Value Theorem (Stewart 3.2) • How derivatives affect the shape of graphs (Stewart 3.3) • Curve sketching (Stewart 3.5) • L'hospital's rule (Stewart 6.8) • Optimization problems (Stewart 3.7) Proofs that you are expected to know • Rolle's Theorem (proof in the Mathematics Resource Book as well as in Stewart) • The Mean Value Theor...

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  •  • 9 pages • 
  • by ahmedghoor • 
  • uploaded  23-01-2021
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MAM1000W Summary from Test Scopes

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Combined all the summaries of the content that I had created from the Test scopes we were given. Therefore these summaries focus on testable content, instead of all the useless "nice-to-know" stuff. That said, it is not entirely complete.

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  •  • 5 items • 
  • by ahmedghoor • 
  • uploaded  23-01-2021
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Test 4 Prep (MAM1000W)

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Topics for test 4: • Antiderivatives - Stewart 3.9 • Sigma notation - Stewart Appendix E • Areas and distances- Stewart 4.1 • The definite integral - Stewart 4.2 • The Fundamental Theorem of Calculus - Stewart 4.3 • Indefinite integrals and the net change theorem - Stewart 4.4 • The substitution rule - Stewart 4.5 • Integration by parts - Stewart 7.1 • Trigonometric integrals - Stewart 7.2 • Trigonometric substitution - Stewart 7.3 • Partial fractions - Stewart 7...

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  •  • 6 pages • 
  • by ahmedghoor • 
  • uploaded  23-01-2021
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Test 5 Prep (MAM1000W)

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The topics for test 5 are • Factorials - Resource book 2 • 1-1 functions and permutations - Resource book 2 • Falling factorials - Resource book 2 • Combinations - Resource book 2 • Binomial coefficients and Pascal’s Triangle - Resource book 2 • The Binomial Theorem - Resource book 2 • Maclaurin and Taylor polynomials - Stewart 11.10 (polynomials, and not series). • Elementary properties of complex numbers (all complex numbers sections are taken from the resource book)...

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  •  • 7 pages • 
  • by ahmedghoor • 
  • uploaded  23-01-2021
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Summary Notes & Proofs for Test 4 (MAM1000W)

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Summary Notes and Proofs based on the scope for Test 4 in 2019. Topics for test 4: • Antiderivatives - Stewart 3.9 • Sigma notation - Stewart Appendix E • Areas and distances- Stewart 4.1 • The definite integral - Stewart 4.2 • The Fundamental Theorem of Calculus - Stewart 4.3 • Indefinite integrals and the net change theorem - Stewart 4.4 • The substitution rule - Stewart 4.5 • Integration by parts - Stewart 7.1 • Trigonometric integrals - Stewart 7.2 • Trigonometric substi...

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  •  • 6 pages • 
  • by ahmedghoor • 
  • uploaded  13-08-2020
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Summary Notes & Proofs for Test 5 (MAM1000W)

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Summarised Notes & Proofs made according to the scope given to us for Test 5 in 2019. Topics: • Factorials - Resource book 2 • 1-1 functions and permutations - Resource book 2 • Falling factorials - Resource book 2 • Combinations - Resource book 2 • Binomial coefficients and Pascal’s Triangle - Resource book 2 • The Binomial Theorem - Resource book 2 • Maclaurin and Taylor polynomials - Stewart 11.10 (polynomials, and not series). • Elementary properties of complex numbers (al...

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  •  • 7 pages • 
  • by ahmedghoor • 
  • uploaded  13-08-2020
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