Honors Calculus - Tentative Schedule

Calculus I - MA 163H

Week	Subject	Pages of WIF	Pages of LN
1	Review of Trigonometric Functions, Real Numbers, Inequalities, and Rational Numbers	1 - 68	7 - 11
2	Fourier Coefficients, Number Sets	69 - 113	11 - 14
3 - 4	Discrete Fourier Expansion, Spectrum, Review of Logarithm and Exponential Func- tions, Sequences and Limits of Sequences	114 - 163 300 - 305	14 - 37
5 - 6	Functions		38- 56
6 - 10	Differentiation	164 -217 305 - 313	56 - 78
11 - 12	Analysis of Functions of a Single Variable Extrema, Related Rate Problems, and L'Hospital's Rule		78 - 99
13 - 15	Integrals	218 - 258	100 - 133
15	Review

Note: WIF = the book "Who is Fourier? A Mathematical Adventure"
      LN = the Lecture Notes

Calculus II - MA 164H

Week	Subject	Pages of WIF	Pages of LN
1 - 2	Projection and Orthogonality Review, of Integrals, Integration by Substitution	259 - 294	7 - 45
3 - 4	The Numbers e and i, Integration by Parts	295 - 324	46 - 53
5 - 6	Euler's Formula, Improper Integrals	325 - 354	53 - 64
7	Review of Sequences, Series, Absolutely Convergent Series		LN 163H: 14 -35 LN 164H: 64 - 74
8 - 9	Complex Number Representation of Fourier Series and Fourier Coefficents, Series with Positive Terms, Stirling's Formula	355 - 370	74 - 82
10 - 11	The Fourier Transform and Uncertainty of Waves, Series of Functions, Power Series, MacLaurin and Taylor Series	371 - 390	83 - 96
12	Binomial Series, Integration with Series		96 - 109
13 - 15	The FFT Method, Fourier Series	391 - 410	109 - 120
15	Review