Math 1013 daily plan for Fall 2018 (M W F Schedule)
Tentative syllabus and schedule.
Week one: Sep 03, 05, 07:
Functions, their representations. (1.1)
Some basic functions. (1.2)
Exponential functions, inverse functions, logarithms (1.4, 1.5)
New functions from old functions (composition) (1.3)
Week two: Sep 10, 12, 14:
Trigonometric functions. (appendix D)
Inverse trigonometric functions (appendix D)
Tangent and velocity. (2.1)
Week three: Sep 17, 19, 21:
Definition of limit (2.2)
Basic rules for limit calculations. (2.3)
Continuity. (2.5)
Week four: Sep 24, 26, 28:
Limit at infinity, and horizontal asymptotes. (2.6)
Derivatives and rates of change. (2.7)
Basic Derivatives. (2.8, 3.1)
Week five: Oct 03, 05
Differentiation rules, product, quotient. (3.2)
Derivatives of trigonometic functions. (3.3)
Chain rule. (3.4)
Week six: Oct 08, 10, 12:
Implicit differentiation. (3.5)
Derivatives of logarithmic functions, and inverse trignometric functions. (3.6)
Week seven: Oct 15, 19;
Rate change problems, and exponential growth. (3.7, 3.8)
Related Rates. (3.9)
Week eight: Oct 22, 24, 26:
Linear approximations, and differentials. (3.10)
Newton's method. (4.8)
Applications, maxima, minima. (4.1)
Midterm Exam: Oct 28 (Sunday Morning 10:15-11:45)
Week nine: Oct 29, 31, Nov 02:
Mean value theorem. (4.2)
Derivatives and the shape of a graph. (4.3)
L'Hopital's rule. (4.4)
Week ten: Nov 05, 07, 09:
Curve sketching. (4.5, 4.6)
Optimization problems. (4.7)
Week eleven: Nov 12, 14, 16:
Anti-derivatives. (4.9)
Areas and distances. (5.1)
Week twelve: Nov 19, 21, 23:
Definite integrals. (5.2)
The Fundamental Theorem of Calculus. (5.3)
Week thirteen: Nov 26, 28, 30:
Indefinite integrals and net change. (5.4)
Substitution. (5.5)