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)
·
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