## MAT137 - L0701 - 2018/19

This is the homepage for MAT137 L0701 (Ivan's section) for the 2018/19 academic year.
Please check this page regularly for the videos you are expected to watch before each lecture.

# FIRST TERM

### WEEK 1

• Tuesday, September 11
• Topics: Introduction, sets, quantifiers
• Videos: 1.1 through 1.3
• Slides
• Wednesday, September 12
• Topics: Quantifiers
• Videos: 1.4 through 1.6
• Slides

### WEEK 2

• Tuesday, September 18
• Topics: Conditionals, definitions, proofs
• Videos: 1.7 through 1.13
• Slides
• Wednesday, September 19
• Topics: More on definitions and proofs.
• Videos: 1.14 through 1.15
• Slides

### WEEK 3

• Tuesday, September 25
• Topics: Absolute values, and the intuitive idea of a limit
• Videos: 2.1 through 2.4
• Slides
• Wednesday, September 26
• Topics: The formal definition of a limit
• Videos: 2.5 through 2.6
• Slides

### WEEK 4

• Tuesday, October 2
• Topics: Proofs with the definition of a limit, and limit laws
• Videos: 2.7 through 2.11
• Slides
• Wednesday, October 3
• Topics: The squeeze theorem, and more proofs
• Videos: 2.12 through 2.13
• Slides

### WEEK 5

• Tuesday, October 9
• Topics: Continuity
• Videos: 2.14 through 2.18
• Slides
• Wednesday, October 10
• Topics: More on continuity
• Videos: 2.19 through 2.20
• Slides

### WEEK 6

• Tuesday, October 16
• Topics: IVT, EVT, and starting on derivatives
• Videos: 2.21 through 2.22, and 3.1 through 3.3
• Slides
• Wednesday, October 17
• Topics: Derivatives
• Videos: 3.4, 3.5, and 3.8
• Slides

### WEEK 7

• Tuesday, October 23
• Topics: Differentiation rules
• Videos: 3.6, 3.7, 3.9, and 3.10
• Slides
• Wednesday, October 24
• Topics: The chain rule and trig derivatives
• Videos: 3.10 through 3.12.
• Slides

### WEEK 8

• Tuesday, October 30
• Topics: Implicit differentiation, exponentials and logarithms, and some related rates.
• Videos: 3.12 through 3.20
• Slides
• Wednesday, October 31
• Topics: Inverse functions
• Videos: 4.1 and 4.2.
• Slides

### WEEK 9

• Tuesday, November 13
• Topics: Inverse functions
• Videos: 4.3 through 4.8
• Slides
• Wednesday, November 14
• Topics: Local extreme values
• Videos: 5.1 through 5.4
• Slides

### WEEK 10

• Tuesday, November 20
• Topics: Rolle's Theorem and the MVT.
• Videos: 5.5 through 5.9
• Slides
• Wednesday, November 21
• Topics: Monotonicity
• Videos: 5.10 through 5.12
• Slides

### WEEK 11

• Tuesday, November 27
• Topics: More on MVT, optimization, and l'Hopital's rule
• Videos: 6.1 through 6.7
• Slides
• Wednesday, November 28
• Topics: More on l'Hopital's Rule
• Videos: 6.8 through 6.10
• Slides

### WEEK 12

• Tuesday, December 4
• Topics: Concavity, asymptotes, and curve sketching
• Videos: 6.11 onwards.
• Slides
• Wednesday, December 5
• Topics: More curve sketching
• Videos: None (but make sure to watch the ones from last class)
• Slides

# SECOND TERM

### WEEK 1

• Tuesday, January 8
• Topics: Summations, suprema, and infima
• Videos: 7.1 through 7.4
• Slides
• Wednesday, January 9
• Topics: Integrable functions
• Videos: 7.5 through 7.9
• Slides

### WEEK 2

• Tuesday, January 15
• Topics: More on integrability, and Riemann sums
• Videos: 7.5 through 7.12
• Slides
• Wednesday, January 16
• Topics: Antiderivatives
• Videos: 8.1 through 8.2
• Slides

### WEEK 3

• Tuesday, January 22
• Topics: The fundamental theorems of calculus
• Videos: 8.3 through 8.7
• Slides
• Wednesday, January 23
• Topics: Integration by substitution
• Videos: 9.1 through 9.4
• Slides

### WEEK 4

• Tuesday, January 29
• Topics: Integration by parts and trig integrals
• Videos: 9.5 through 9.12
• Slides
• Wednesday, January 30
• Topics: Integration of rational functions
• Videos: 9.15 through 9.17
• Slides

### WEEK 5

• Tuesday, February 5
• Topics: Volumes
• Videos: 10.1 through 10.2
• Slides
• Wednesday, February 6
• Class cancelled due to weather

### WEEK 6

• Tuesday, February 12
• Class cancelled due to weather
• Wednesday, February 13
• Topics: Sequences
• Videos: 11.1 through 11.2
• Slides
• Friday, February 15 (3-6pm makeup class)
• Topics: More on sequences, and "The Big Theorem"
• Videos: 11.3 through 11.8
• Slides

### WEEK 7

• Tuesday, February 26
• Topics: Improper integrals, and the BCT
• Videos: 12.1 through 12.8
• Slides
• Wednesday, February 27
• Topics: The LCT for improper integrals
• Videos: 12.9 through 12.10
• Slides

### WEEK 8

• Tuesday, March 5
• Topics: Series
• Videos: 13.1 through 13.9
• Slides
• Wednesday, March 6
• Topics: More on series
• Videos: Still 13.1 through 13.9
• Slides

### WEEK 9

• Tuesday, March 12
• Topics: Integral test, and comparison tests
• Videos: 13.10 through 13.14
• Slides
• Wednesday, March 13
• Topics: Alternating series, conditional and absolute convergence
• Videos: 13.15 through 13.17
• Slides

### WEEK 11

• Tuesday, March 26
• Topics: Taylor series and analytic functions
• Videos: 14.5 through 14.8
• Slides
• Wednesday, March 27
• Topics: New power series
• Videos: 14.9 and 14.10
• Slides

### WEEK 12

• Tuesday, April 2
• Topics: Applications of Taylor series
• Videos: 14.11 through 14.15
• Slides
• Wednesday, April 3
• Topics: More applications of Taylor series
• Videos: 14.11 through 14.15
• Slides