Lecture notes

 
Lecture notes will be uploaded here once or twice a week. Please email the instructor if you find mistakes so they can be reported on this page.
 
Week 1 Th 6th Sep and Tu 11th Sep, Tangent and Velocity Problems (chapters 2.1, 2.2, 2.3).
Week 2 part 1 Th 13th Sep, Continuity (chapter 2.5).
Corrections:
Week 2 part 2 Tu 18th Sep, Limits at Infinity; Horizontal Asymptotes (chapter 2.6).
 
Week 3 part 1 Th 20th Sep, Derivatives and Rates of Change, Derivative as a function (chapters 2.7, 2.8).
 
Week 3 part 2 Tu 25th Sep, Derivative of Polynomials and Exponential Function (chapter 3.1).
 
Week 4 part 1 Th 27th Sep, Product and Quotient Rule, Derivatives of Trigonometric Functions (chapters 3.2, 3.3).
 
Week 4 part 2 Tu 2nd Oct, Chain Rule (chapter 3.4).
 
Week 5 part 1 Th 4th Oct, Inverse Functions and Logarithms (chapter 1.6).
 
Week 5 part 2 Tu 9th Oct, Implicit Differentiation (chapter 3.5).
 
Week 6 part 1 Th 11th Oct, Derivatives of Logarithmic Functions, Rates of Change in Natural and Social Sciences (chapters 3.6, 3.7).
 
Week 6 part 2 Tu 16th Oct, Exponential Growth and Decay (chapter 3.8).
 
Week 7 part 1 Th 18th Oct, Related Rates (chapter 3.9).
 
Week 7 part 2 Tu 23rd Oct, Linear Approximations (chapter 3.10).
 
Week 8 part 1 Th 25th Oct, Taylor Polynomials (Section 1 on Course Notes).
 
Week 8 part 2 Tu 30th Oct, Taylor Polynomials with Remainder (Section 2 on Course Notes).
 
Week 9 part 1 Th 1st Nov, Maximum and Minimum Values (chapter 4.1).
 
Week 9 part 2 Tu 6th Nov, The Mean Value Theorem (chapter 4.2).
 
Week 10 part 1 Th 8th Nov, How Derivatives Affect The Shape of a Graph (chapter 4.3).
 
Week 10 part 2 Tu 13th Nov, Indeterminate Forms and l'Hospital's Rule (chapter 4.4).
 
Week 11 part 1 Th 15th Nov, Summary of Curve Sketching (chapter 4.5).
 
Week 11 part 2 Tu 20th and Th 22nd Nov, Optimization Problems (chapter 4.7).
 
Week 12 Th 22nd and Tu 27th Nov, Antiderivatives (chapter 4.9).
 
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