Math 1013 Weekly Plan, Fall 2017

Week one:

Numbers, inequalities and absolute values (Appendix A)

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

Exponential functions (1.4)
Week two:

Inverse functions, logarithms, trigonometric functions and inverse trigonometric functions (1.6, Appendix D)
Week three:

Tangent and velocity (2.1)

The limit of a function, limit laws (2.2, 2.3)
Week four:

Continuity (2.5)

Limits at infinity and horizontal asymptotes (2.6)

Derivatives and rates of change (2.7)
Week five: (Holidays: Oct 2, 5)

Basic derivatives (2.8, 3.1)

Product and quotient rules (3.2)

Derivatives of trigonometic functions (3.3)
Week six:

Chain rule (3.4)

Implicit differentiation, derivatives of inverse trigonometric functions and logarithmic functions (3.5, 3.6)
Week seven:

Rates of change problems (3.7, 3.8)

Related Rates. (3.9)

Midterm Exam: 10:15-11:45, Oct 22 (Sunday)

Week eight: (Holidays: Oct 28)

Linear approximations and differentials (3.10)

Newton's method (4.8)

Maximum and minimum values (4.1)
Week nine:

Mean Value Theorem (4.2)

Derivatives and the shape of a graph (4.3)

L'Hopital's rule (4.4)
Week ten:

Curve sketching (4.5, 4.6)

Optimization problems (4.7)
Week eleven:

Anti-derivatives (4.9)

Areas and distances (5.1)

Definite integrals (5.2)
Week twelve:

The Fundamental Theorem of Calculus (5.3)

Indefinite integrals and net change (5.4)
Week thirteen:

Substitution rule (5.5)
Study Break: Dec 1-6