| Week | Topics | Homework | Relevant Videos |
|---|---|---|---|
| 1/28 | Administrivia 5.1, 5.2, 5.3, 5.4 Review of the definite integral and the Fundamental Theorem of Calculus. 5.5 Integration by Substitution |
HW01 on WebAssign, Due Wed 2/6 at 9am. No paper homework this week. |
Definition of the Integral; The Fundamental Theorem; Substitution. |
| 2/4 | 5.6 Integration by parts 5.7 Trigonometric integrals, Trigonometric substitutions 2/8@4pm: Last day to add/drop |
HW02 on WebAssign, Due Wed 2/13 at 9am. Paper homework 1, Due in recitation on 2/13, 2/14 or 2/15. |
Integration by Parts; Trigonometric Integrals and Trig Substitutions. |
| 2/11 | 5.7 Trig Substitutions, Partial Fractions 5.9 Approximate integration |
HW03 on WebAssign, Due Wed 2/20 at 9am. Paper homework 2, Due in recitation on 2/20, 2/21 or 2/22. |
Trig Substitutions and Partial Fractions; Partial Fractions. |
| 2/18 | 5.9 Simpson's Rule 5.10 Improper integrals |
HW04 on WebAssign, Due Wed 2/27 at 9am. Paper homework 3, Due in recitation on W, Th, or F. |
Midpoint, Trapeziod, and Simpson's rule; Simpson's rule, Improper integrals; more improper integrals. |
| 2/25 | 6.1 More about area 6.2, 6.3 Volumes, Volumes of revolution |
HW05 on WebAssign, Due Monday 3/4 at 5pm. No paper homework this week; study for the exam instead. |
Area between curves; Volumes; Exam Review. |
| 3/4 | M 3/4 8.45 pm: Midterm 1 More information is here 6.4 Arc length 6.5 Average Value 6.1-6.4 in 3rd ed 6.6 Work 3/8: Last day to move down to MAT126 or MAT131. File this form before 4pm. |
HW06 on WebAssign, Due Wednesday 3/13 at 10am. Paper homework 4, Due in recitation on W, Th, or F. |
Volumes of Revolution; Arc Length and Average Value; Work. |
| 3/11 | Appendix H Polar coordinates, Polar Curves and Area 8.1 Sequences |
HW07 on WebAssign, Due Wed 3/27 at 9am. | Polar Coordinates; Polar Curves and Area; Polar Area, infinite sequences. |
| 3/18 | Spring Break | ||
| 3/25 | 8.2 Infinite series 8.3 Integral test 8.3 Comparison and Limit comparison tests |
HW08 on WebAssign, Due Wed 4/3 at 9am. | more sequences, Geometric and Harmonic Series; more infinite sums; integral test; integral and comparison tests. |
| 4/1 | 8.4 Ratio test, Alternating series test, Absolute convergence 8.5 Power series 8.6 Functions as series 4/5: Last day to change to G/P/NC status or withdraw with W grade (must be done by 4pm) |
HW09 on WebAssign, Due Wed 4/10 at 9am. | Alternating Series, Absolute Convergence, Ratio Test; Power Series; New Power Series from Old Ones. |
| 4/8 | review W 4/10 8.45pm: Midterm 2 8.7 Taylor and Maclaurin series |
HW10 on WebAssign, Due Wed 4/17 at 9am. | review for midterm Functions as Power SeriesFunctions as Power Series |
| 4/15 | 8.8 Applications of Taylor series Appendix I Complex Numbers 7.1 Modeling with differential equations |
HW11 on WebAssign, Due Wed 4/24 at 9am. Paper homework 5, Due in recitation on W, Th, or F. |
convergence of Taylor series, binomial series, etc. Taylor Remainder, Complex numbers Complex exponential; intro to Differential Equations |
| 4/22 | 7.2 Direction fields, Euler's method 7.3 Separable Equations 7.4 Exponential growth |
HW12 on WebAssign, Due Wed 5/1 at 9am. | Direction Fields and Euler's method Separable differential equations mixing, heating, exponential growth |
| 4/29 | Notes on 2nd order Differential Equations (see here) 7.5 The logistic equation |
HW13 on WebAssign, Due Wed 5/8 at 9am. | Second order linear D.E.s More 2nd order linear DE.s, logistic model |
| 5/6 | 7.6 Predator-Prey systems review |
Predator Prey systems | |
| 5/13 | No Class: Finals and Reading Period | review I review II review III Problem Session |
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| 5/20 | Final (Cumulative) Monday, May 20, 8:00-10:45am more information |