Lecture 16: Topic: Differentiation
Reading for this lecture H&P, Ch 11, Sect 11.5. Homework for Tutorial in Week 7 Ex 11.5, pp. 521-523, problems 5, 21, 29, 55, 65, 71.
Chain Rule
Given y = f(u) dy = dy du dx du dx and u = g(x).
Example If y = (4x +2 )3 T
Lecture 7: Topic: Matrices
Reading for this lecture H&P, Ch 6, Sect 6.3. Homework for Tutorial in Week 4 Ex 6.3, pp. 248-249, problems 7, 15, 23, 27, 63.
Conformability for Multiplication
The product, AB, of two matrices, A and B, exists if, and only if,
Lecture 9:
Topic: Matrices Reading for this lecture H&P, Ch 6, Sect 6.6 pp. 138 148 Homework for Tutorial Week 5 Ex 6.6, pp 269 270 problems 1, 5, 9, 21, 27
The Inverse of a 3 x 3 matrix
a11 A = a 21 a 31 a12 a 22 a32 a13 a 23 a33
The determinant of a 3
Lecture 8:
Topic: Matrices
Reading for this lecture H&P, Ch 3, Sect 3.4 pp. 138 148 H& P, Ch 6, Sect 6.4, 6.5, 6.6 pp. 249 259 Homework for Tutorial Week 4 Ex 3.4, pp 146 148 problems 1, 15
Matrix Inversion
The inverse of a matrix, A, denoted by A-1, is d
Lecture 6 part 2-Topic: Matrices
Reading for this lecture H&P, Ch 6, Sect 6.2. Homework for Tutorial in Week 4 Ex 6.2, pp. 237-238, problems 1, 17, 29, 35, 41.
Matrix Addition
A = [ aij ] and B = [ bij ] can be added if,
and only if, they are of the same
Lecture 6: Part 1 Topic: Matrices
Reading H&P, Ch 6 H&P, Ch 3, Sect 3.4. Reading for this lecture H&P, Ch 6, Sect 6.1. Homework for Tutorial in Week 3 Ex 6.1, pp. 231-232, problems 1, 3, 19, 23, 25.
1
A Matrix
A matrix is a rectangular array of numbers. E
Lecture 5: Topic: Mathematics of Finance
Reading for this lecture H&P, Ch 5, Sect 5.5. Homework for Tutorial in Week 3 Ex 5.5, pp. 221-222, problems 1, 5, 19.
A Loan
A loan of $A at a given interest rate, r, is to be repaid in a sequence installments of t
Lecture 4: Topic: Mathematics of Finance
Reading for this lecture H&P, Ch 5, Sect 5.4. Homework for Tutorial in Week 3 Ex. 5.4, pp. 216-217, problems 13, 17, 19, 23, 31.
An Annuity
An annuity is a sequence of payments of the same size, R, made at fixed in
Lecture 3: Topic: Mathematics of Finance
Reading H&P, Ch 5. Reading for this lecture H&P, Ch 5, Sect 5.1 - 5.2; (also refer back to Ch 4, pp. 167-168) Homework for Tutorial in Week 2 Ex 5.1, pp. 200-201, problems 1, 3, 9, 11. Ex 5.2, pp. 204-205, problems
Lecture 2: Topic: Introduction
Reading for this lecture H&P, Ch 4, Sect 4.2 4.4 Homework for Tutorial in Week 2 Ex 4.2, pp. 180, problems 1, 3, 17, 29. Ex 4.3, pp. 185-186, problems 11, 21, 25. Ex 4.4, p. 190-191, problems 1, 7.
1
Logarithmic Functions
De
Lecture 1: Topic: Introduction
Reading H&P, Ch 4; 1.1 (For introductory material, see Ch 0, pp. 10-16.) Reading for this lecture H&P, Ch 4, Sect 4.1; Ch 1.1 (modeling). Homework for Tutorial in Week 2 Ex 4.1, p. 173, problems 1, 5, 15.
1
Function
A functi