Math 1013 daily plan for Fall 2016 (TuTh Schedule)

Tentative syllabus and schedule.

Week one: Sep 01, 06, 08:
  • Functions, their representations. (1.1)
  • Some basic functions. (1.2)
  • Exponential functions, inverse functions, logarithms (1.5, 1.6)
  • New functions from old functions (composition) (1.3)

    Week two: Sep 13, 15:
  • Trigonometric functions. (appendix D)
  • Inverse trigonometric functions (appendix D)
  • Tangent and velocity. (2.1)

    Week three: Sep 20, 22:
  • Definition of limit (2.2)
  • Basic rules for limit calculations. (2.3)
  • Continuity. (2.5)

    Week four: Sep 27, 29:
  • Limit at infinity, and horizontal asymptotes. (2.6)
  • Derivatives and rates of change. (2.7)
  • Basic Derivatives. (2.8, 3.1)

    Week five: Oct 04, 06
  • Differentiation rules, product, quotient. (3.2)
  • Derivatives of trigonometic functions. (3.3)
  • Chain rule. (3.4)

    Week six: Oct 11, 13:
  • Implicit differentiation. (3.5)
  • Derivatives of logarithmic functions, and inverse trignometric functions. (3.6)

    Week seven: Oct 18, 20;
  • Rate change problems, and exponential growth. (3.7, 3.8)
  • Related Rates. (3.9)

    Midterm Exam: Oct 23 (Sunday Morning 10:15-11:45)

    Week eight: Oct 25, 27:
  • Linear approximations, and differentials. (3.10)
  • Newton's method. (4.8)
  • Applications, maxima, minima. (4.1)





    Week nine: Nov 01, 03:
  • Mean value theorem. (4.2)
  • Derivatives and the shape of a graph. (4.3)
  • L'Hopital's rule. (4.4)

    Week ten: Nov 08, 10:
  • Curve sketching. (4.5, 4.6)
  • Optimization problems. (4.7)

    Week eleven: Nov 15, 17:
  • Anti-derivatives. (4.9)
  • Areas and distances. (5.1)

    Week twelve: Nov 22, 24:
  • Definite integrals. (5.2)
  • The Fundamental Theorem of Calculus. (5.3)

    Week thirteen: Nov 29:
  • Indefinite integrals and net change. (5.4)
  • Substitution. (5.5)