| Date | Textbook Sections | Topics | |
|---|---|---|---|
| Week 0 | Thu 8/18 | Course overview; distance and area problems; limits | |
| Fri 8/19 | 1.1, 1.2 | Ways of representing a function; linear functions | |
| Week 1 | Mon 8/22 | 1.2, 1.3 | Polynomials, algebraic and transcendental functions; graphical transformations |
| Tue 8/23
HW #1 due | 1.5, 1.6 | Exponential and logarithmic functions; inversion and composition | |
| Wed 8/24 | 1.7 | Parametric curves | |
| Thu 8/25 | 2.1 | The tangent problem I | |
| Fri 8/26
Quiz #1 | 2.1 | The tangent problem II | |
| Week 2 | Mon 8/29 | 2.1 | The velocity problem I |
| Tue 8/30
HW #2 due | 2.1, 2.2 | The velocity problem II; limits I | |
| Wed 8/31 | 2.2 | Limits II | |
| Thu 9/1 | 2.3 | Limit Laws | |
| Fri 9/2
Quiz #2 | 2.3 | The Squeeze Theorem | |
| Week 3 | Mon 9/5 | No class -- Labor Day | |
| Tue 9/6
HW #3 due | Appendix D | *** The precise definition of a limit | |
| Wed 9/7 | 2.4 | Continuity I | |
| Thu 9/8 | 2.4 | Continuity II | |
| Fri 9/9
Quiz #3 | 2.5 | Limits involving infinity I | |
| Week 4 | Mon 9/12 | 2.5 | Limits involving infinity II |
| Tue 9/13
HW #4 due | 2.5 | Limits involving infinity III | |
| Wed 9/14 | 2.6, 2.7 | Tangents and velocities; definition of derivative | |
| Thu 9/15 | 2.7, 2.8 | More examples of derivatives; the derivative as a function I | |
| Fri 9/16
Quiz #4 | 2.8 | The derivative as a function II | |
| Week 5 | Mon 9/19 | 2.8; 3.1 | Differentiability vs. continuity; the derivative of f(x)=xn |
| Tue 9/20
HW #5 due | 2.8, 2.9 | The second derivative; graphing f and f' and f" | |
| Wed 9/21 | 2.9, 3.1 | Antiderivatives; some basic shortcuts for differentiation | |
| Thu 9/22 | 3.1, 3.2 | Derivatives of polynomials; the Product Rule | |
| Fri 9/23
Quiz #5 | 3.2 | The Quotient Rule; the derivative of ex | |
| Week 6 | Mon 9/26 | 3.4 | Derivatives of trigonometric functions |
| Tue 9/27 | 3.5 | The Chain Rule | |
| Wed 9/28
HW #6 due | 3.6 | Implicit differentiation I | |
| Thu 9/29 | 3.6 | Implicit differentiation II; derivatives of inverse trigonometric functions | |
| Fri 9/30
Quiz #6 | 3.7 | Derivatives of exponential and logarithmic functions | |
| Week 7 | Mon 10/3 | 3.7, 3.3 | Logarithmic differentiation; applications of derivatives |
| Tue 10/4
HW #7 due | 4.2 | Maxima and minima | |
| Wed 10/5 | 4.3 | Derivatives and the shapes of curves | |
| Thu 10/6 | 4.3 | Increasing/Decreasing, 1st Derivative, 2nd Derivative and Concavity tests | |
| Fri 10/7
Quiz #7 | 4.6 | Optimization problems | |
| Week 8 | Mon 10/10 | 4.6 | Optimization problems |
| Tue 10/11
Midterm Exam | Review | ||
| Wed 10/12 | *** Infinity | ||
| Thu 10/13 | No class -- Fall Break | ||
| Fri 10/14 | |||
| Week 9 | Mon 10/17
HW #8 due | 3.8 | Linear approximation |
| Tue 10/18 | 3.8, 4.8 | Differentials; Newton's Method I | |
| Wed 10/19 | 4.8 | Newton's Method II | |
| Thu 10/20 | 4.1 | Related rates I | |
| Fri 10/21
Quiz #8 | 4.1 | Related rates II | |
| Week 10 | Mon 10/24 | 4.5 | Indeterminate forms and L'Hôpital's Rule I |
| Tue 10/25
HW #9 due | 4.5 | L'Hôpital's Rule II | |
| Wed 10/26 | 4.9 | Antiderivatives | |
| Thu 10/27 | 5.1 | Areas and distances | |
| Fri 10/28 | 4.8 | Group work: Applications of L'Hôpital's Rule | |
| Week 11 | Mon 10/31 | 5.1, 5.2 | Areas and distances II |
| Tue 11/1
HW #10 due | 5.2 | The definite integral I | |
| Wed 11/2 | 5.2 | The definite integral II | |
| Thu 11/3 | 5.3 | Evaluating definite integrals (Fundamental Theorem of Calculus, II) | |
| Fri 11/4
Quiz #10 | 5.3 | Indefinite integrals | |
| Week 12 | Mon 11/7 | 5.4 | The Fundamental Theorem of Calculus I |
| Tue 11/8
HW #11 due | 5.5 | Integration by substitution | |
| Wed 11/9 | 5.6 | Integration by parts I | |
| Thu 11/10 | 5.6 | Integration by parts II | |
| Fri 11/11 | 5.7 | More techniques of integration | |
| Week 13 | Mon 11/14 | 5.7 | Trigonometric substitution (Lecture by Prof. Yasuyuki Kachi) |
| Tue 11/15
HW #12 due | 5.7, 5.10 | Yet more techniques of integration; improper integrals I | |
| Wed 11/16 | 5.10 | Improper integrals II | |
| Thu 11/17 | 5.10, 5.9 | Improper integrals III; approximate integration | |
| Fri 11/18
Quiz #12 | |||
| Week 14 | Mon 11/21 | 5.10; 6.1 | Comparison test for improper integrals; More on areas |
| Tue 11/22
HW #13 due | 6.1 | Still more on areas | |
| Wed 11/23 | No class -- Thanksgiving | ||
| Thu 11/24 | |||
| Fri 11/25 | |||
| Week 15 | Mon 11/28 | 6.2 | Volumes I: basic ideas |
| Tue 11/29 | 6.2 | Volumes II: slicing into disks and annuli | |
| Wed 11/30 | 6.2 | Volumes III: cylindrical shells | |
| Thu 12/1 | 6.3 | Arc length | |
| Fri 12/2
Quiz #13 | 6.4 | The average value of a function | |
| Week 16 | Mon 12/5 | 6.5 | Applications to physics and engineering I |
| Tue 12/6 | 6.5 | Applications to physics and engineering II | |
| Wed 12/7 | Review | ||
| Thu 12/8
HW #14 due | Review | ||
Lectures marked with *** cover material that will not be on the common midterm or final exams.
Math 141 homepage
Jeremy Martin's homepage
