| Day | Date | Activity | Assignment (Please read ahead!) |
| Mon | 1/13 | Welcome/Introductions/Review |
Please read Keith Devlin's Letter to a calculus student, as well as Vol 1, Sec. 1.2: Basic Classes of Functions for tomorrow.
For homework, please try problems 63-66, 71-74 (write the equation in point-slope form, as well, which I generally prefer); 85, 86; 90, 92, 93; 103, 104. These types of problem will form the basis of the quiz for Thursday. |
| Tue | 1/14 | Function Zoo | Please read Vol 1, Sec 1.4: Inverse Functions for next time. Attempt problems 185-190, 195, 196, 203, 204, 218, 220, 221. |
| Thu | 1/16 | Inverse functions | For Tuesday (MLK, Jr. Holiday on Monday!): read Vol 1, Sec 3.7: Derivatives of Inverse functions, and attempt problems 260, 261, 279, 280, 283, 289, 290, 295, 296 |
| Fri | 1/17 | Lab 1 | Intro to Mathematica; Plotting, defining functions. Here's another Mathematica file you might have a look at, to review the shapes of basic functions, and some of their properties. |
| Mon | 1/20 | MLK Day | |
| Tue | 1/21 | Derivatives of Inverse functions | Please read Vol 1, Sec 3.9: Derivatives of exponential and logarithmic functions for next time, and attempt problems 333-337, 340, 341, 354, 359, 361, 363 (this should look familiar from our lab last time! We'll try it in Mathematica on Friday.). |
| Thu | 1/23 | Derivatives of Exponential and Logarithmic Functions | Please read Vol 1, 4.6: Limits at infinity and asymptotes, and attempt problems 261-270, 285, 286, 298, 299, 308, 309 |
| Fri | 1/24 | Lab 2 | Derivatives and linear approximation. Please read Vol 1, 4.6: Limits at infinity and asymptotes, and attempt problems 261-270, 285, 286, 298, 299, 308, 309 |
| Mon | 1/27 | Limits at infinity and asymptotes | Please read Vol 1, 4.8: L'Hopital's Rule for tomorrow, and attempt problems 356-359, 362, 363, 366, 378, 380, 386, 391, 396, 397, 400. |
| Tue | 1/28 | L'Hopital's Rule | Please review integration for next time: Vol 2, 1.1: Approximating Areas -- Vol 2, 1.3: The Fundamental Theorem of Calculus |
| Thu | 1/30 | Basic Integration | Please read Vol 2, Sec 3.1: Integration by Parts for next Monday. Attempt problems 1, 2, 4, 11, 13, 14, 22, 26, 48, 49, 53, 55, 57, and the problems in this worksheet |
| Fri | 1/31 | Lab 3 | Solving equations, tips and tricks |
| Mon | 2/3 | Integration by Parts | Please read Vol 2, Sec 3.2: Trigonometric Integrals for next time, and attempt problems in the worksheet. |
| Tue | 2/4 | Trig integrals | Vol 2, Sec 3.3: Trigonometric Substitution is our next topic; please read that, and attempt problems in the worksheet. |
| Thu | 2/6 | Trig substitution | |
| Fri | 2/7 | Lab 4 | Integration and application |
| Mon | 2/10 | Continued | |
| Tue | 2/11 | Review | |
| Thu | 2/13 | Exam 1 | |
| Fri | 2/14 | Lab Exam 1 | Please read Vol 2, Sec 3.6: Numerical Integration for next time. |
| Mon | 2/17 | Numerical Integration | From Vol 2, Sec 3.6: Numerical Integration, please try problems 306, 314-318, 322, 323, 333. |
| Tue | 2/18 | Continued | |
| Thu | 2/20 | Numerical error analysis | |
| Fri | 2/21 | Lab 5 | Numerical Integration |
| Mon | 2/24 | Improper Integrals | Please be sure you've read Vol 2, Sec 3.7: Improper Integrals |
| Tue | 2/25 | Continued | Please read Vol 2, Sec 5.1: Sequences for next time. |
| Thu | 2/27 | Sequences | Vol 2, Sec 5.1: Sequences |
| Fri | 2/28 | Lab 6 | Applied numerical integration with data |
| Mon | 3/3 | Infinite Series | Vol 2, Sec 5.2: Infinite Series |
| Tue | 3/4 | Divergence and Convergence Tests | Vol 2, Sec 5.3: The Divergence and Integral Tests |
| Thu | 3/6 | Comparison Tests | Vol 2, Sec 5.4: Comparison Tests |
| Fri | 3/7 | Lab 7 | Sequences and Series |
| Mon | 3/10 | Spring Break | |
| Tue | 3/11 | Spring Break | |
| Thu | 3/13 | Spring Break | |
| Fri | 3/14 | Spring Break | |
| Mon | 3/17 | Alternating Series | Vol 2, Sec 5.5: Alternating Series |
| Tue | 3/18 | Review | |
| Thu | 3/20 | Exam 2 | |
| Fri | 3/21 | Lab Exam 2 | |
| Mon | 3/24 | Ratio and Root Tests | Vol 2, Sec 5.6: Ratio and Root Tests |
| Tue | 3/25 | Taylor Polynomials | |
| Thu | 3/27 | Power Series and Functions | Vol 2, Sec 6.1: Power Series and Functions |
| Fri | 3/28 | Lab 8 | Approximating functions with polynomials |
| Mon | 3/31 | Taylor Series | Vol 2, Sec 6.3: Taylor and Maclaurin Series |
| Tue | 4/1 | Working with Taylor Series | Vol 2, Sec 6.4: Working with Taylor Series |
| Thu | 4/3 | Parametric Equations | Vol 2, Sec 7.1: Parametric Equations |
| Fri | 4/4 | Lab 9 | Power and Taylor Series |
| Mon | 4/7 | Calculus of Parametric Curves | Vol 2, Sec 7.2: Calculus of Parametric Curves |
| Tue | 4/8 | Continued, and Polar Coordinates | Vol 2, Sec 7.3: Polar Coordinates |
| Thu | 4/10 | Area and Arc Length in Polar Coordinates | Vol 2, Sec 7.4: Area and Arc Length in Polar Coordinates |
| Fri | 4/11 | Lab 10 | Parametric Equations and Curves |
| Mon | 4/14 | Vectors in the Plane | Vol 3, Sec 2.1: Vectors in the Plane |
| Tue | 4/15 | Review | |
| Thu | 4/17 | Exam 3 | |
| Fri | 4/18 | Lab Exam 3 | |
| Mon | 4/21 | Vectors in Three Dimensions | Vol 3, Sec 2.2: Vectors in Three Dimensions |
| Tue | 4/22 | The Dot Product | Vol 3, Sec 2.3: The Dot Product |
| Thu | 4/24 | The Cross Product | Vol 3, Sec 2.4: The Cross Product |
| Fri | 4/25 | Lab 11 | Three-Dimensional calculus |
| Mon | 4/28 | Equations of Lines and Planes in Space | Vol 3, Sec 2.5: Equations of Lines and Planes in Space |
| Tue | 4/29 | Continued | |
| Thu | 5/1 | Review | |
| Fri | 5/2 | Review | |
| Mon | 5/5 | ||
| Tue | 5/6 | ||
| Wed | 5/7 | Final, Part 1 (written) | 12:20 p.m. |
| Thu | 5/8 | Final, Part 2 (lab) | 12:20 p.m. |
| Fri | 5/9 | Have a good summer! |