CAC Mathematics
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  • Home
  • Math Whiz
  • Topic Reviews
  • Course Syllabus
  • Unit 5
  • Unit 4
  • Unit 3
  • Unit 2
  • Unit 1
  • Unit 1
  • Unit 2
  • Unit 3
  • Unit 4
  • Extended Essay
  • AP Stats
    • Semester 1 Exam
    • AP Statistics Resources
    • AP Model Answers
    • Syllabus
    • Coursework Rubric
    • Unit 1
    • Unit 2
    • Unit 3
    • Unit 4
    • Unit 5
    • Unit 6
    • Unit 7
    • Unit 8
    • Unit 9
    • Unit 10

HL
Unit 5

Calculus


Limits and Continuity
Section 2.3 (March 13)
Limit Laws
Read all 11 Examples and 3 Theorems
Exercises: 1, 2, 9, 11, 17


Section 2.5 (March 15)
Continuity
Exercises: 3-6, 11, 37, 39


Section 3.2 (March 20)
The Derivative
Exercises: 1, 3, 4-11, 19, 25, 27, 39


Section 3.3 (March 22)
Differentiation Formulas
Exercises: 1-41 odd

Section 3.4 (March 28)
Derivatives of Trigonometric Functions
Exercises: 1-15 odd, 17 - 33 e.o.o.

Section 3.5 (March 30, April 10)
The Chain Rule
Exercises: 1-53 e.o.o. , 59, 61, 65, 67, 71, 72


Section 3.6 (April 12)
Implicit Differentiation
Exercises: 1-33 e.o.o.

Section 3.8 (April 21)
Related Rates
Exercises: 1-15 odd (read the examples in the book - they're good)

Section 3.8 (April 26)
Related Rates

Exercises:
12, 15, 19, 22, 29, 40


Section 4.1 (April 28)
Extrema

Exercises: 1-13 odd, 29-35 odd

Section 4.1 (May 4)
Extrema

Exercises: 45. 49, 53, 55
Section 4.3
First and Second Derivative Tests

Exercises:
1, 2, 9, 12, 13, 19, 21, 23, 24, 35, 41

Section 4.7 (May 8)

Optimization
Exercises: 3, 9, 12, 17, 21, 33

Section 4.7 (May 10, 12, 16)

Optimization
Exercises: 20 (minimizing the square of the distance minimizes the distance), 23 (try doing the problem with L=2 first), 24, 27 (try doing the problem with r=2 first), 31, 36 (you may eventually need a calculator on this one), 37

Quiz Related Rates and Optimization May 18


Integration Packet (May 18, 22)
Exercises: 1 - 49 e.o.o.
Exercises: t. o. e. o. o. through 51 (May 24)
Test - Sections: 3-8, 4-1, 4.3, 4.7, and Integration Packet May 26
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