AP Calculus AB
3rd 9-week Calendar

Monday

Tuesday

Wednesday

Thursday

Friday

January 21

22

23

24

25

 

Antiderivatives and indefinite integration, including antiderivatives following directly from derivatives of basic functions & basic properties of the definite integral

Txt 4.1

 

Area under a curve

Txt 4.2

 

28

29

30

31

February 1

Meaning of the definite integral, definite integral as a limit of Riemann sums, Riemann sums, including left, right, and midpoint sums, trapezoidal sums, use of Riemann sums and trapezoidal sums to approximate definite integrals, trapezoidal sums project assigned

Txt 4.3 & 4.6

 

Test 3.1

 

Discovery lesson on the First Fundamental Theorem of Calculus, use of the First Fundamental Theorem to evaluate definite integrals

Txt 4.4

4

5

6

7

8

 

Discovery lesson on the Second Fundamental Theorem of Calculus, The Second Fundamental Theorem of Calculus and functions defined by integrals, The Mean Value Theorem for Integrals and the average value of a function

Txt 4.4

 

Trapezoidal sums project due, use of substitution of variables to evaluate definite integrals, integration by substitution

Txt 4.5

 

11

12

13

14

15

Test 3.2

 

The natural logarithmic function and differentiation

Txt 5.1

 

The natural logarithmic function and integration

Txt 5.2

18

19

20

21

22

 

Inverse functions

Txt 5.3

 

Test 3.3

 

25

26

27

28

29

Exponential functions: differentialtion

Txt 5.4

 

Exponential functions: integration

Txt 5.4

 

 

March 3

4

5

6

7

Bases other than e and applications

Txt 5.5

 

Test 3.4;

π day activities assigned

 

Inverse trig functions and differentiation

Txt 5.6

10

11

12

13

14

 

Inverse trig functions and integration

Txt 5.7

 

π day activities;

Review of transcendental functions and calculus

 

 

17

18

19

20

21

 

 

 

 

 

24

25

26

27

28

Test 3.5

 

Solving separable differential equations & applications of differential equations in modeling, including exponential growth

Txt 6.2

 

Use of slope fields to interpret a differential equation geometrically & drawing slope fields and solution curves for differential equations; Euler’s method

Txt 6.1