Dates

Section

Topics

 

 

 

Jan-9 to Jan-11

5.5

The Substitution Rule (Review)

 

5.6

Integration by Parts (Review)

 

5.7

Trig-substitution (Review)

 

 

Partial Fractions (Including Appendix G)

Jan-9

MAPLE #0

And #1

HW#0=Review and HW #1 = Illustration of Definite Integrals

 Both assignments are due Jan 18

 

 

 

Jan-14 to Jan-18

5.7

Partial Fractions (Including Appendix G)

 

5.8

Integration Using Tables

 

5.9

Approximate Integration

 

5.10

Improper Integrals

Jan-18

MAPLE #2

Numerical Integration | Due Jan-26

 

 

 

Jan-21

 

M.L. King Holiday

Jan-22 to Jan-25

5.10

Improper Integrals

 

6.1

Areas

 

6.2

Volumes

 

 

 

Jan-28 to Feb-1

6.2

Volumes

 

6.3

Arc Length

 

 

 Review 1

 

Focus On

Problem Solving Page 438-439 (time permits)

 

Test 1

Test 1 (Feb-1) Through 6.3

 

 

 

Feb-4 to Feb-8

6.4

 Average Value of a Function

 

6.5

 Application to Physics and Engineering

 

6.6 or 6.7

Other Applications (or more 6.5)

 

 

 

Feb-11 to Feb-15

6.6 or 6.7

Other Applications

 

Focus on

Problem Solving (time permits)

 

7.1

Modeling with Differential Equations

 

7.2

Directional Fields, Euler's Method

Feb-15

MAPLE #3

Euler's Method and Scalar Equations | Due Feb-29

 

 

 

Feb-18 to Feb-22

7.2

Directional Fields, Euler's Method

 

7.3

Separable Equations

 

 

Review 2

 

7.4

Exponential Growth and Decay

Feb-19

MAPLE #4

Differential Equations | Due Mar-24

 

 

 

 

 

 

 

 

 

Feb-25 to Feb-29

7.4

 Exponential Growth and Decay

 

 

 Review 2

 

Test 2

Test 2 (Feb-27) Through 7.4

 

7.5

The Logistic Equation

 

 

 

Mar-3 to Mar-7

Break

Spring Break

 

 

 

Mar-10 to Mar-14

7.7

Second Order Linear Equations

 

7.8

Nonhomogeneous Linear Equations

 

 

 

Mar-17 to Mar-20

7.9

Application of Differential Equations

 

8.1

Sequences

Mar-21

Holiday

Spring Holiday

 

 

 

Mar-24 to Mar-28

8.2

Series

 

 

Review 3

 

Test 3

Test 3 (Mar-28) Through Ch. 8.2

 

 

 

Mar-31 to Apr-4

8.3

Integral and Comparison Tests

 

 8.4

Other Convergence Tests

 

 

 

Apr-7 to Apr-11

8.5

Power Series

 

8.6

Representation of Functions as Power Series

Apr-8

MAPLE #5

Taylor Approximation to Functions | Due Apr-25

 

 

 

Apr-14 to Apr-18

8.7

Taylor and Maclaurin Series

 

 

Review 4

 

Test 4

Test 4 (Apr-18) Through 8.7

 

 

 

Apr-21 to Apr-25

8.8

The Binomial Series

 

8.9

Application of Taylor Polynomials

 

Review

 

 

 

 

 

 

 

 Apr-28

Final Exam

Final Exam (Apr-28, 1-4pm)