Date

 Class Topic

Reading (Stewart)

1/16

Areas and distances (review)

5.1

1/17

The definite integral

5.2

1/18

The evaluation theorem for integrals

5.3

1/21

No class - Martin Luther King Day

1/23

Integrals and net change

5.3

1/24

The Fundamental Theorem of Calculus

5.4

1/25

More on the Fundamental Theorem

5.4

1/28

Integrals by substitution

5.5

1/30

More on substitution

5.5

1/31

Integration by parts

5.6

2/1

More integrals by parts

5.6

2/4

Trigonometric integrals

5.7

2/6

Trigonometric substitutions

5.7

2/7

Integration by partial fractions

5.7

2/8

Tables of integrals

5.8

2/11

Approximate integration -- midpoint and trapezoidal rules

5.9

2/13

Lab 1: Approximate integration -- Simpson's rule

5.9

2/14

Improper integrals

5.10

2/15

Areas between curves

6.1

2/18

Volumes by slicing

6.2

2/20

Review for Exam 1

Exam I given 6:00 - 7:30pm, location TBA

2/21

More on volumes by slicing

6.2

2/22

Arc length of curves

6.3

2/25

Average value of functions

6.4

2/27

Applications to probability

6.7

2/28

More probability applications

6.7

3/29

Modeling with differential equations

7.1

3/3,5,6,7

No class - Spring break

3/10

Direction fields

7.2

3/12

Euler's Method

7.2

3/13

Lab 2: Direction fields and Euler's Method

7.2

3/14

Separable equations

7.3

3/17

Exponential growth and decay

7.4

3/19

More on exponential growth and decay

7.4

3/20,21,24

No Class -- Easter break

3/26

Review for Exam 2

Exam II given 6:00 - 7:30pm, location TBA

3/27

Logistic models of growth

7.5

3/28

Lab 3: Logistic models of ecology

7.5

3/31

Sequences of numbers

8.1

4/2

Geometric series and convergence

8.2

4/3

The integral test and p-series

8.3

4/4

Absolute convergence and the ratio test

8.4

4/7

Power series, interval of convergence

8.5

4/9

Representing functions by power series

8.6

4/10

Taylor and Maclaurin polynomials and series

8.7

4/11

Lab 4: Visualizing convergence of Maclaurin series

4/14

Moments and centers of mass

6.5

4/16

Motivating probability

6.7

4/17

Probability densities and cumulative distributions

6.7

4/18

Mean and median of a distribution

4/21

Exponential models

4/23

Review for Exam 3

Exam III given 6:00 - 7:30pm, location TBA

4/24

Normal distributions

4/25

Lab 5

4/28

Course wrap-up