1 
Lecture
1: Recalled basic formulae for areas; explained how limits are needed to derive a formula for the area of a circle; introduced the notion of a definite integral. 
2 
Lecture
2: Calculated definite integrals for the functions y=mx+c, y=x+c and y=x^{2}. 
3 
Lecture
3 (Guest Lecturer): Introduced the floor function. Eplained how to calculate the integral of a sum and of a scalar multiple. 
4

Lecture
4 (Guest Lecturer): Introduced the notion of an antiderivative. Stated the Fundamental Theorem of Calculus and used it to compute the integral of a product. 
5

Lecture
5: Recalled the Fundamental Theorem of Calculus, and then gave a proof of it. 
6

Lecture
6: Used integration to solve a range of word problems. 
7

Lecture
7: Solved an integration problem involving acceleration (= rate of change of velocity). Then started to talk about techniques of integration. Covered Technique 1: algebraic simplification. 
8

Lecture
8: More on techniques of integration. Covered Technique 2: spotting integrals of some standard functions. Started Technique 3: simple substitutions. 
9

Lecture
9: More on techniques of integration. Covered Technique 3: simple substitutions. 
10

Lecture
10
: More techniques of integration. Covered integration by parts (ie integration of a product). STUDENT ATTENDANCE WAS RECORDED. 
11

Lecture
11: More techniques of integration: Covered trigonometric substitutions. 
12

Lecture
12: Started to cover the final technique of integration: partial fractions. 
13

Lecture
13: Gave more details and examples on partial fractions. 
14

Lecture
14: Introduced the notion of a differential equation and its solution. Found all solutions of the differential equation dy/dx = ky . Then investigated a cooling cup of coffee. 
15

Lecture
15: Finished the investigation of a cooling cup of coffee. Then explained the Malthusian model of population growth and used it to model the World's population. 
16

Lecture
16 and attendance: Introduced the Logistic Model of population growth. The Logistic Model is a separable differential equation  so we covered the technique for solving a separable differential equation. 
17

Lecture
17: Solved the Logistic Model and predicted the limiting world population. 
18

Lecture
18: Considered a problem where salt water is added to a tank containing initially pure water, and where the liquid is simultaneously drained from the tank. The problem lead us to consider first order linear differential equations, and the method of integrating factors I(t) for solving them. 
19

Lecture
19: Revised more problems on integration. 
20

Lecture
20: Revised problems from Section 10.9 on differential equations. 
21

Lecture
21: Revised more problems on differential equations. 
22

Lecture
22: Revised problems on techniques of integration. 
23

Lecture
23: Revised more problems on techniques of integration. (Recorded attendance.) 
24

Lecture
24: Revised more problems on techniques of integration. (Recorded attendance.) 