MAT 137: Calculus!
Slides from Zicheng's lectures (LEC 0201)

I will post here any slides that I use in class, soon after each class. Notice that this only contains the slides, not a summary of the lectures.
  1. Introduction to logic, sets, notation, definitions, and proofs

    Date Topics Required videos Supplementary videos Lecture slides
    Thu, 10 Sep Introduction --- --- To be posted
    Fri, 11 Sep Sets 1.1, 1.2, 1.3 --- slide
    Mon, 14 Sep Quantifiers 1.4, 1.5, 1.6 --- slide
    Thu, 17 Sep Conditionals 1.7, 1.8 1.9 slide
    Fri, 18 Sep Definitions and proofs 1.10, 1.11, 1.12, 1.13 --- slide
    Mon, 21 Sep Induction 1.14, 1.15 --- slide


  2. Limits and continuity

    Date Topics Required videos Supplementary videos Lecture slides
    Thu, 24 Sep Distance and absolute value 2.4 --- slide
    Fri, 25 Sep Limits geometrically 2.1, 2.2, 2.3 --- slide
    Mon, 28 Sep The definition of limit 2.5, 2.6 --- slide
    Thu, 1 Oct Proofs from the definition of limit 2.7, 2.8 2.9 slide
    Fri, 2 Oct Limit laws 2.10, 2.11 --- slide
    Mon, 5 Oct Squeeze theorem and more proofs with limits 2.12, 2.13 --- slide
    Thu, 9 Oct Continuity 2.14, 2.15 --- slide
    Fri, 10 Oct More on continuity 2.16, 2.17 2.18 slide
    Thu, 15 Oct Computations 2.19, 2.20 --- slide
    Fri, 16 Oct IVT and EVT 2.21, 2.22 --- slide


  3. Derivatives

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 19 Oct Definition of derivative 3.1, 3.2, 3.3 --- slide
    Thu, 22 Oct Differentiation rules 3.4, 3.5, 3.8 --- slide
    Fri, 23 Oct Proof of the differentiation rules 3.6, 3.7, 3.9 --- slide
    Mon, 26 Oct The chain rule 3.10, 3.11 --- slide
    Thu, 29 Oct Trig derivatives and implicit differentiation 3.12, 3.13 --- slide


  4. Trascendental functions

    Date Topics Required videos Supplementary videos Lecture slides
    Fri, 30 Oct Inverse functions 4.1, 4.2 --- slide
    Mon, 2 Nov Inverse functions 4.3, 4.4 --- slide
    Thu, 5 Nov Exponentials and logarithms 4.5, 4.7, 4.8, 4.9 4.6, 4.10, 4.11 slide
    Fri, 6 Nov Inverse trig functions 4.12, 4.13, 4.14 --- slide


  5. The Mean Value Theorem and applications

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 16 Nov Local extrema 5.2, 5.3, 5.4 5.1 slide
    Thu, 19 Nov Rolle's Theorem 5.5, 5.6 --- slide
    Fri, 20 Nov MVT 5.7, 5.8, 5.9 --- slide
    Mon, 23 Nov Monotonocity 5.10, 5.11 5.12 slide


  6. Applications of derivatives and limits

    Date Topics Required videos Supplementary videos Lecture slides
    Thu, 26 Nov Related rates 6.1, 6.2 --- slide
    Fri, 27 Nov Applied optimization 6.3, 6.4 --- slide
    Mon, 30 Nov Indeterminate forms and L'Hôpital's Rule 6.6, 6.7, 6.9 6.5, 6.8 slide
    Thu, 3 Dec Indeterminate forms and L'Hôpital's Rule 6.10, 6.12 6.11 slide
    Fri, 4 Dec Concavity 6.13, 6.14 -- slide
    Mon, 7 Dec Asymptotes 6.15, 6.16, 6.17 6.18 slide
    Thu, 10 Dec Curve sketching --- --- slide


  7. The definition of integral

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 11 Jan Sums and sigmas 7.1, 7.2 --- slide
    Thu, 14 Jan Suprema and infima 7.3, 7.4 --- slide
    Fri, 15 Jan The definition of integral 7.5, 7.6 --- slide
    Mon, 18 Jan Examples and properties of the integral 7.7, 7.8, 7.11 --- slide
    Thu, 21 Jan Integrals as limits 7.9, 7.10 -- slide


  8. The Fundamental Theorem of Calculus

    Date Topics Required videos Supplementary videos Lecture slides
    Fri, 22 Jan Antiderivatives and indefinite integrals 8.1, 8.2 --- slide
    Mon, 25 Jan FTC - Part 1 8.3, 8.4 --- slide
    Thu, 28 Jan FTC - Part 2 8.5, 8.6 8.7 slide


  9. Integration methods

    Date Topics Required videos Supplementary videos Lecture slides
    Fri, 29 Jan Integration by substitution 9.1, 9.3 9.2 slide
    Mon, 1 Feb Integration by parts 9.4 9.5, 9.6 slide
    Thu, 4 Feb Integration of products of trigonometric functions 9.7 9.8, 9.9 slide
    Fri, 5 Feb Integration of rational functions 9.10 9.11, 9.12 slide


  10. Applications of the integral

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 8 Feb Volumes 10.1 --- slide
    Thu, 11 Feb Volumes 10.2 --- slide


  11. Sequences

    Date Topics Required videos Supplementary videos Lecture slides
    Fri, 12 Feb Sequences 11.1, 11.2 --- slide
    Mon, 22 Feb Properties of sequences 11.3, 11.4 --- slide
    Thu, 25 Feb Theorems about sequences 11.5, 11.6 --- slide
    Fri, 26 Feb The Big Theorem 11.7, 11.8 --- slide


  12. Improper integrals

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 1 Mar Improper integrals 12.1, 12.4, 12.5 12.2, 12.3, 12.6 slide
    Thu, 4 Mar The Basic Comparison Test 12.7, 12.8 --- slide
    Fri, 5 Mar The Limit Comparison Test 12.9, 12.10 --- slide


  13. Series

    Date Topics Required videos Supplementary videos Lecture slides
    Mon, 8 Mar Definition of series 13,2, 13.3, 13.4 13.1 slide
    Thu, 11 Mar Properties of series 13.5, 13.6, 13.7 --- slide
    Fri, 12 Mar Properties of series 13.8, 13.9 --- slide
    Mon, 15 Mar Integral test and comparison tests 13.10, 13.12 13.11 slide
    Thu, 18 Mar Alternating series 13.13 13.14 slide
    Fri, 19 Mar Absolute and conditional convergence 13.15 13.16, 13.17 slide
    Mon, 22 Mar Ratio test 13.18, 13.19 --- slide


  14. Power series and Taylor series

    Date Topics Required videos Supplementary videos Lecture slides
    Thu, 25 Mar Power series 14.1, 14.2 --- slide
    Fri, 26 Mar Taylor polynomials 14.3, 14.4 --- slide
    Mon, 29 Mar Taylor series 14.5, 14.6 --- slide
    Thu, 1 Apr Analytic functions 14.7, 14.8 --- slide
    Fri, 2 Apr GOOD FRIDAY (no class) --- --- (no class)
    Mon, 5 Apr Constructing new Taylor series 14.9, 14.10 --- slide
    Thu, 8 Apr Applications 14.12, 14.14 --- slide
    Fri, 9 Apr Applications 14.11, 14.13 14.15 slide
    Mon, 12 Apr Outroduction --- --- slide