| Topic | Lesson Plans | Work Sheets | Source Files |
|---|---|---|---|
| Sections 5.1-5.5. Review of Integration | lecture01.pdf | worksheet01.pdf |
lecture01.tex
worksheet01.tex |
| Section 5.5. Integration by Substitution | lecture02.pdf | worksheet02.pdf |
lecture02.tex
worksheet02.tex |
| Section 5.6. Integration by Parts | lecture03.pdf | worksheet03.pdf |
lecture03.tex
worksheet03.tex |
|
Section 5.7. Additional Techniques of Integration
(Trigonometric Integrals and Trigonometric Substitution) |
lecture04.pdf | worksheet04.pdf |
lecture04.tex
worksheet04.tex Fig_4_1.pdf |
|
Section 5.7. Additional Techniques of Integration
(Partial Fractions) |
lecture05.pdf | worksheet05.pdf |
lecture05.tex
worksheet05.tex |
| Section 5.9. Approximate Integration | lecture06.pdf | worksheet06.pdf |
lecture06.tex
worksheet06.tex |
| Section 5.10. Improper Integrals | lecture07.pdf | worksheet07.pdf |
lecture07.tex
worksheet07.tex |
| Section 6.1. More about Areas | lecture08.pdf | worksheet08.pdf |
lecture08.tex
worksheet08.tex |
| Section 6.2. Volumes | lecture09.pdf | worksheet09.pdf |
lecture09.tex
worksheet09.tex |
| Applying the Definite Integral: Slice and Conquer (Notes) | lecture10.pdf | worksheet10.pdf |
lecture10.tex
worksheet10.tex |
|
Section 6.3. Arc Length
Section 6.4. Average Value of a Function |
lecture11.pdf | worksheet11.pdf |
lecture11.tex
worksheet11.tex Fig_11_1.pdf |
| Section 6.5. Applications to Physics and Engineering (Work) | lecture12.pdf | worksheet12.pdf |
lecture12.tex
worksheet12.tex |
| Section 8.1. Sequences | lecture13.pdf | worksheet13.pdf |
lecture13.tex
worksheet13.tex |
|
Section 8.2. Series
(Geometric Series) |
lecture14.pdf | worksheet14.pdf |
lecture14.tex
worksheet14.tex |
|
Section 8.2. Series
(Definition and Properties) |
lecture15.pdf | worksheet15.pdf |
lecture15.tex
worksheet15.tex |
|
Section 8.3. The Integral and Comparison Tests; Estimating Sums
(The Integral Test and p-series) |
lecture16.pdf | worksheet16.pdf |
lecture16.tex
worksheet16.tex |
|
Section 8.3. The Integral and Comparison Tests; Estimating Sums
(Comparison Tests) |
lecture17.pdf | worksheet17.pdf |
lecture17.tex
worksheet17.tex |
|
Section 8.4. Other Convergence Tests
(Alternating Series, Absolute and Conditional Convergence) |
lecture18.pdf | worksheet18.pdf |
lecture18.tex
worksheet18.tex |
|
Section 8.4. Other Convergence Tests (The Ratio Test) |
lecture19.pdf | worksheet19.pdf |
lecture19.tex
worksheet19.tex |
| Strategies for Determining Convergence and Divergence of a Series | lecture20.pdf | worksheet20.pdf |
lecture20.tex
worksheet20.tex |
| Section 8.5. Power Series | lecture21.pdf | worksheet21.pdf |
lecture21.tex
worksheet21.tex |
| Section 8.6. Representations of Functions by Power Series | lecture22.pdf | worksheet22.pdf |
lecture22.tex
worksheet22.tex |
| Section 8.7. Taylor and Maclaurin Series (I) | lecture23.pdf | worksheet23.pdf |
lecture23.tex
worksheet23.tex |
| Section 8.7. Taylor and Maclaurin Series (II) | lecture24.pdf | worksheet24.pdf |
lecture24.tex
worksheet24.tex |
| Section 8.9. Applications of Taylor Polynomials | lecture25.pdf | worksheet25.pdf |
lecture25.tex
worksheet25.tex |
| Modeling with Differential Equations | lecture26.pdf |
lecture26.tex
Fig_26_1.pdf Fig_26_2.pdf Fig_26_3.pdf Fig_26_4.pdf Fig_26_5.pdf |
|
| Solutions to Differential Equations | lecture27.pdf | worksheet27.pdf |
lecture27.tex
worksheet27.tex Fig_27_1.pdf Fig_27_2.pdf Fig_27_3.pdf Fig_27_4.pdf Fig_27_5.pdf |
| Qualitative Analysis of dy/dt = f(y) | lecture28.pdf | lecture28.tex | |
| Solving Separable First-Order Differential Equations | lecture29.pdf | lecture29.tex | |
| First-Order Linear Differential Equations | lecture30.pdf | lecture30.tex | |
| Systems of Differential Equations (I) | lecture31.pdf |
lecture31.tex
Fig_31_1.pdf Fig_31_2.pdf Fig_31_3.pdf Fig_31_4.pdf |
|
| Systems of Differential Equations (II) | lecture32.pdf | lecture32.tex | |
|
Second-Order Homogeneous Differential Equations with Constant Coefficients (I)
Appendix I. Complex Numbers |
lecture33.pdf | worksheet33.pdf |
lecture33.tex
worksheet33.tex Fig_33_1.pdf |
| Second-Order Homogeneous Differential Equations with Constant Coefficients (II) | lecture34.pdf | worksheet34.pdf |
lecture34.tex
worksheet34.tex |