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- Notes from 11/26 Lectures
More examples on linear approximation/linearization and estimating the error.
- Homework 3 Solutions
- Quiz 4 Solutions
- Notes from 11/21 Lectures
Linear approximation/linearization, estimating the error. I've also added an exercise to the square root example that you will find helpful while studying.
- Notes from 11/14 Lecture
More examples on optimization, with summary of the solutions. My advice to you is to work through the examples again before looking at the solutions
- Slides from 11/12 Lecture
Examples on Optimization. Also one example from last lecture.
- Quiz 3 Solutions
- HW2 Solutions
- Graphing example from 11/5 Lecture
- Slides from 10/31 Lecture:
Summary of properties: increasing/decreasing and concavity. Summary of 1st and 2nd derivative tests.
- Slides from 10/24 Lecture:
Notes on max/min. Contains the summary of important definitions and theorems from the textbook, the worksheet and the iClicker question.
- Slides from 10/22 Lecture:
These are the related rates problems we went through in class, and the iClicker questions.
- Blitz examples from Lecture 10/8:
Blitz examples to identify which differentiation rule to use first.
- Quiz 2 Solutions
Slides from 10/1 and 10/3 Lectures:
Applications of rates of change (growth models, business problem, average and marginal costs/revenue/profit). Also, useful collation of chain rule facts taken from the textbook.
- Homework 1 Solutions:
Solutions to questions 1 and 2 on Homework 1. In it are extensive details regarding the nuanced difficulties in each problem. Study them (especially Qn2(iii)) to reinforce the concepts we talk about in class.
Slides from 9/26 Lecture:
Continuity v.s. differentiability, differentiation rules from Ch 3.3, 3.4 (product & quotient rules, exponential & trig functions), higher order derivatives.
Slides from 9/24 Lecture:
Intuitive and formal definitions of derivatives, summary of differentiation rules from Ch 3.2.
Slides from 9/19 Lecture:
This contains the "zoo" of continuous functions, an example and the iClicker question.
Lecture notes for 9/17:
Lecture notes for the business problem. The handouts themselves can be found in the corresponding set of notes on the Main Course Website.
iClicker question from 9/12 Lecture:
Lecture notes for 9/10:
Review of inverse functions, exponential and logarithmic functions (Ch 1.3). The 9/10 lecture also consisted of board presentations covering material from Ch 2.1. The board presentation are not posted here.
Lecture notes for 9/5:
Review of functions (Ch 1.1 & parts of 1.3 from the text)