Math 1013 Calculus I, Fall 2013

Tentative schedule. 

Week one: Monday (Sep 1)

·         Numbers, inequalities and absolute values (Appendix A)

·         Basic functions and graphs, composite functions (1.1, 1.2, 1.3)

Week two: Monday (Sep 8) (Holiday Sep 9)

·         Exponential functions (1.5), trigonometric functions (Appendix D)

·         Inverse functions, logarithmic functions and inverse trigonometric functions (1.6, Appendix D)

Week three: Monday (Sep 15)

·         Tangent and velocity (2.1)

·         The limit of a function, limit laws (2.2, 2.3)

Week four: Monday (Sep 22)

·         Continuity (2.5)

·         Limits at infinity and horizontal asymptotes (2.6)

·         Derivatives and rates of change (2.7)

Week five: Monday (Sep 29)  (Holidays Oct 1, 2)

·         Basic derivatives (2.8, 3.1)

·         Product and quotient rules (3.2)

·         Derivatives of trigonometic functions (3.3)

Week six: Monday (Oct 6)

·         Chain rule (3.4)

·         Implicit differentiation, derivatives of inverse trigonometric functions and logarithmic functions (3.5, 3.6)

Week seven: Monday (Oct 13)

·         Rates of change problems (3.7, 3.8)

·         Related Rates. (3.9)

Week eight: Monday (Oct 20)

·         Linear approximations and differentials (3.10)

·         Newton's method (4.8)

·         Maximum and minimum values (4.1)

·         Midterm Exam: Oct 26 (Sunday Morning)

Week nine: Monday (Oct 27)

·         Mean Value Theorem (4.2)

·         Derivatives and the shape of a graph (4.3)

·         L'Hopital's rule (4.4)

Week ten: Monday (Nov 3)

·         Curve sketching (4.5, 4.6)

·         Optimization problems (4.7

Week eleven: Monday (Nov 10)

·          Anti-derivatives (4.9)

·         Areas and distances (5.1)

Week twelve: Monday (Nov 17)

·         Definite integrals (5.2)

·         The Fundamental Theorem of Calculus (5.3)

Week thirteen: Monday (Nov 24)

·         Indefinite integrals and net change (5.4)

·         Substitution rule (5.5)

Study Break: Dec 1-6