
MATH101 
General Course Info
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Midterm 1: Tuesday, Feb 25th 2014
Day of final exam: Friday, April 25th, 2014, 3:30PM
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).
Learn about The fundamental theorem of calculus
Learn about antiderivative sketching
Learn about net change theorem
Week 3. Areas between curves (6.1). Volumes (6.2).
Learn about calculating the area between curves
Learn about volumes from crosssection
Week 4. Work (6.4). Average Value of a Function (6.5). Integration by Parts (7.1 but ignore reduction formulas).
Learn about average value of a function
Learn about integration by parts
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).
Practice integrals uncategorized, involving any technique
Learn about trigonometric integrals
Learn about trigonometric substitution
Week 6. Strategy for integration (7.5). Approximate integration (7.7). Improper integrals (7.8).
Learn about approximate integration: trapezoidal rule
Learn about approximate integration: Simpson's rule
Learn about improper integrals
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).
Learn about applications of physics: center of mass
Learn about applications of physics: centroid
Learn about applications of physics: Hooke's law
Learn about separation of variables
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).
Learn about integral comparison test
Week 10. Alternating series (11.5). Absolute convergence and the ratio test (11.6 but ignore the root test).
Learn about alternating series
Learn about series (and tests for convergence)
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)
Learn about Taylor's remainder theorem