Welcome to the Webpage of Edward Burkard

Course Webpage for Math 135 - Single-Variable Calculus - Spring 2021

Important Information

  • Lecture Time and Location:
    • Section 04 - MTWF 7:00-7:50pm Virtually
  • Office Hours:
    • MWF: 4:30-5:30pm
    • TW: 8:00-9:00pm
    or by appointment, online
  • All times Eastern (GMT-5 until March 14, then GMT-4)
  • Course Syllabus

Handouts and Other Stuff

Lecture Progress

Date Sections Covered Lecture Notes
Feb 1 Introduction to Calculus Notes
Feb 2 Limits - Numerical and Graphical Notes
Feb 3 Infinite Limits and Limit Laws Notes
Feb 5 Limit Laws and Algebraic Computation of Limits Notes
Feb 8 Continuity Notes
Feb 10 Continuity Notes
Feb 12 No Class Happy New Year!
Feb 15 IVT and Limits at Infinity Notes
Feb 17 Limits at Infinity and Asymptotes Notes
Feb 19 Rates of Change and the Derivative Notes
Feb 24 Derivatives and Differentiability Notes
Feb 26 Higher Derivatives and General Derivative Facts Notes
Mar 1 Derivative Properties and The Product Rule Notes
Mar 3 Derivatives of Trig Functions and The Quotient Rule Notes
Mar 5 The Chain Rule Notes
Mar 8 Derivatives of Logarithms and Inverse Trig Functions Notes
Mar 10 Implicit and Logarithmic Differentiation Notes
Mar 12 General Exponential Derivatives and Linear Approximation Notes
Mar 15 Related Rates Notes
Mar 23 More Related Rates Notes
Mar 24 Absolute and Local Extrema Notes
Mar 26 Absolute Extrema on Closed Intervals Notes
Mar 29 The Mean Value Theorem Notes
Mar 31 The First Derivative Test Notes
Apr 2 Second Derivative Test and Concavity Notes
Apr 6 L'H˘pital's Rule Notes
Apr 7 Antiderivatives Notes
Apr 9 Area Under Curves Notes
Apr 12 Riemann Sums and the Definite Integral Notes
Apr 14 Definite Integrals and the Fundamental Theorem of Calculus Notes
Apr 16 The Fundamental Theorem of Calculus and Indefinite Integrals Notes
Apr 21 The Substitution Rule Notes
Apr 23 More u-Substitution and Intro to Integration by Parts Notes
Apr 26 Integration by Parts Notes
May 3 Trigonometric Integration Notes
May 5 Trigonometric Substitution Notes
May 10 Improper Integrals Notes