Science:Math Exam Resources/Courses/MATH101
General Course Info
Visit the course main page here.
Day of final exam: August 13th, 12pm in CIRS 1250
Available Practice Exams
Dynamic Course Syllabus
The full course syllabus can be found here.
Week 1. Areas and Distances (5.1) and the Definite Integral (5.2).
Week 2. The Fundamental Theorem of Calculus (5.3). Indefinite integrals and the Net Change Theorem (5.4). The Substitution Rule (5.5).
Week 3. Areas between curves (6.1). Volumes (6.2).
Week 4. Work (6.4). Average Value of a Function (6.5). Integration by Parts (7.1 but ignore reduction formulas).
Week 5. Trigonometric Integrals (7.2 but ignore sin mx, cos nx, etc.). Trigonometric substitutions (7.3 but ignore inverse secant and inverse hyperbolic substitutions). Integration of rational functions by partial fractions (7.4 but ignore CASE VI: Q(x) contains a repeated irreducible quadratic factor).
Week 6. Strategy for integration (7.5). Approximate integration (7.7). Improper integrals (7.8).
Week 7. Applications to Physics and Engineering (8.3 but ignore hydrostatic pressure and force and the Theorem of Pappus). Separable equations (9.3 but ignore orthogonal trajectories).
Week 8. Sequences (11.1 but ignore definitions 2 and 5, Example 6, and the proof of the Monotonic Sequence Theorem). Series (11.2).
Week 9. The integral test (11.3 but ignore estimating the sum of a series and the proof of the integral test). Comparison tests (11.4 but ignore estimating sums).
Week 10. Alternating series (11.5). Absolute convergence and the ratio test (11.6 but ignore the root test).
Week 11. Power series (11.8). Representations of functions as power series (11.9).
Week 12. Taylor and Maclaurin series (11.10 but ignore binomial series)
All Topics in this Course in Alphabetical Order