MAT 137: Calculus!
Slides from Alfonso's lectures (L0101 and L0201)

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. Intro to logic, quantifers, definitions, and proofs

    Date Topics Required videos Textbook sections Lecture slides
    Fri, 7 Sep Introduction --- --- slides
    Mon, 10 Sep Sets 1.1, 1.2, 1.3 1.1, 1.2 slides
    Wed, 12 Sep Quantifiers 1.4, 1.5, 1.6 1.3 slides
    Fri, 14 Sep Conditionals 1.7, 1.8, 1.9 1.3 slides
    Mon, 17 Sep Definitions and proofs 1.10, 1.11, 1.12, 1.13 1.4 slides
    Wed, 19 Sep Induction 1.14, 1.15 1.4 slides


  2. Limits and continuity

    Date Topics Required videos Supplementary videos Textbook sections Lecture slides
    Fri, 21 Sep Distance and absolute value 2.4 --- 1.2, 1.8 slides
    Mon, 24 Sep The intuitive idea of limit 2.1, 2.2, 2.3 --- 2.1 slides
    Wed, 26 Sep The definition of limit 2.5, 2.6 --- 2.2 slides
    Fri, 28 Sep Proofs from the definition of limit 2.7, 2.8 2.9 2.2 slides
    Mon, 1 Oct Limit laws 2.10, 2.11 --- 2.3 slides
    Wed, 3 Oct Squeeze theorem and more proofs with limits 2.12, 2.13 --- 2.3 slides
    Fri, 5 Oct Continuity 2.14, 2.15 --- 2.4 slides
    Wed, 10 Oct More on continuity 2.16, 2.17 2.18 2.4 slides
    Fri, 12 Oct Computations 2.19, 2.20 --- 2.1, 2.3, 2.4 slides
    Mon, 15 Oct IVT and EVT 2.21, 2.22 --- 2.5 slides


  3. Derivatives

    Date Topics Required videos Supplementary videos Textbook sections Lecture slides
    Wed, 17 Oct Definition of derivative 3.1, 3.2, 3.3 --- 3.1 slides
    Fri, 19 Oct Differentiation rules 3.4, 3.5, 3.8 --- 3.2, 3.3 slides
    Mon, 22 Oct Proof of the differentiation rules 3.6, 3.7, 3.9 --- 3.1, 3.3 posted after lecture
    Wed, 24 Oct The chain rule 3.10 --- 3.5 posted after lecture
    Fri, 26 Oct Trig derivatives and implicit differentiation 3.11, 3.12 --- 3.4, 3.7 posted after lecture
    Mon, 29 Oct Derivatives of exponentials and logarithms 3.13, 3.15, 3.16, 3.17, 3.18 3.14 3.4, 3.6, 3.7 posted after lecture
    Wed, 31 Oct Related rates 3.19, 3.20, 3.21 --- 4.7 posted after lecture


  4. Inverse functions and inverse trigonometric functions

    Date Topics Required videos Textbook sections Lecture slides
    Fri, 2 Nov Inverse functions 4.1, 4.2 1.5, 1.7 posted after lecture
    Mon, 12 Nov One-to-one functions 4.3, 4.4, 4.5 1.7, 3.6 posted after lecture
    Wed, 14 Nov Inverse trig functions 4.6, 4.7, 4.8 3.5 posted after lecture