Chapter I: Financial Mathematics
1. Simple interest
a. Find the interest I and the total accumulated amount A at a simple interest rate.
b. Find the principal that should be deposit at a simple interest rate to reach a certain
accumulated amount:
c. Find the time a deposit needs to reach a certain accumulated amount at a simple
interest rate.
d. Find the simple interest rate a deposit needs to reach a certain accumulated amount in a
Resource: Example (1)-slide (4), HW-slides (7-8), Mock Quiz I-1-Questions(1) and
(2)
2. Compound interest
a. Find the total accumulated amount after t years on a deposit at a given nominal interest
rate compounded m times a year:
Resource: Examples (2)-slide (11), Examples (3)-slides (14-16) , HW-slides(18-19) ,
Mock Quiz I-2-Question(1), Quiz (2)-Question(1)
b. Find the total accumulated amount after t years on a deposit at a given nominal interest
rate compounded continuously.
Resource: Example (4)-slide (21), HW-slide (23), Mock Quiz I-2-Question(2)
c. Find the principal (present value) that should be deposited in a bank paying an interest
that’s compounded m times a year to reach a certain accumulated amount:
Resource: Example(6)-slide(30), HW-slide(32), Mock Quiz I-3-Questions(2)
d. Find the effective rate of interest:
Resource: Example (5)-slides (24-25) & HW-slides (26), Mock Quiz I-3-Question (1),
Quiz (2)-Question (2)
3. Progressions
a. Find the n-th term and the sum of the first n terms of a given arithmetic progressions:
Example (8, 9 & 11)-slide (44, 45 & 48), Mock Quiz II-1-Question (1)
b. Find the arithmetic progression if given the values of two terms:
Resource: Example (10)-slide(46)
c. Find the n-th term and the sum of the first n terms of a geometric progressions:
Resource: Example (12 & 14)-slides (53 & 56), Mock Quiz II-1-Question (2)
d. Find the geometric progression if given the values of two terms:
Resource: Example (13)-slide (54)
4. Annuity
a. Find the future value of the annuity:
Resource: Example (15-16)-slide (65-66), HW-slide (68), Mock Quiz II-2-Question
(1), Quiz (3)-Question(1)
a. Find the present value of the annuity.
Resource: Example (17)-slide (70), HW-slide (73), Mock Quiz II-2-Question (2)
5. Amortization
Find the size of equal payments to amortize a loan.
Resource: Example (18)-slide (76), HW-slide (78-81), Mock Quiz II-3-Questions (1)
& (2), Quiz (3)-Question (2)
6. Sinking Fund
Find the size of equal installments to be paid in a sinking fund.
Resource: Example (19)-slide (84) HW-slide (86-87), Mock Quiz II-4
Chapter II: Matrices & System of Linear Equations
1. Matrices
a. understand and apply the following concepts:
a.1. Zero matrix and square Matrx
Resource: Examples on slide (3)
a.2. Diagonal andIdentity matrix
Resource: Examples on slide (4)
a.5. Equality of two matrices
Resource: Examples on slide (5-6)
b. Perform matrix addition, multiplying of a matrix by a scalar
Resource: Example (1-2)- slide (7-8) & Example (1)-slide (9), Mock Quiz III-1Questions (1), Quiz (4)-Question (1)
c. Perform matrix multiplication
Resource: Example (1-4)-slide (13-16), Mock Quiz III-1-Questions (2), Quiz (4)Question (2)
d. Find the transpose of a matrix
Resource: Example (1-3)-slide (17-19), Mock Quiz III-1-Questions (1), Quiz (4)Question (1)
2. Linear Equations:
a. Rewriting systems of linear equations in matrix form
Resource: Examples on slides (65 and 67) until the end of the second step.
Mock Quiz III-4-Questions (1) and (2)[before multiplying by the inverse]
Quiz (5)-Question (1) and (2)[ before multiplying by the inverse]