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)