Slides from Huan's lectures (L0401)

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.

MAT137 Homepage

**Intro to logic, quantifers, definitions, and proofs**

Date Topics Videos to watch before lecture Slides used in lecture Thu, Sep 7 Introduction+Sets 1.1, 1.2, 1.3 Lecture 1 slides Mon, Sep 11 Negation+Quantifiers 1.4, 1.5, 1.6 Lecture 2 slides Thu, Sep 14 Conditionals+Definitions 1.7 to 1.13 Lecture 3 slides Mon, Sep 18 Induction 1.14, 1.15 Lecture 4 slides

**Limits and continuity**

Date Topics Videos to watch before lecture Slides used in lecture Thu, Sep 21 Inequalities and absolute values

Intuitive definition of limit2.4, 2.1, 2.2, 2.3 Lecture 5 slides Mon, Sep 25 The formal definition of limit 2.5, 2.6, 2.7 Lecture 6 slides Thu, Sep 28 More on definitions of limit

Limit laws, squeeze theorem2.8, 2.9, 2.10, 2.11, 2.12 Lecture 7 slides Mon, Oct 2 Continuity 2.13, 2.14, 2.15 Lecture 8 slides Thu, Oct 5 Discontinuities, Trigonometric Limits 2.16, 2.17, 2.18 Lecture 9 slides Thu, Oct 12 IVT, EVT, Definition of Derivative 2.19, 2.20, 3.1, 3.2, 3.3, 3.4 Lecture 10 slides Mon, Oct 16 Differentiability implies continuity

Proofs of differentiation rules3.5, 3.6, 3.7 Lecture 11 slides Thu, Oct 19 Higher-order derivatives

The chain rule

Derivatives of trigonometric functions3.8, 3.9, 3.10, 3.11, 3.12 Will be posted after lecture