Course content
Chapter 1: Basic Algebra Skills
- Linear functions
- Linear equations
- General solution of a linear equation
- Linear functions and lines
- Quadratic functions
- The quadratic formula
- Quadratic equations
- Quadratic functions and parabolas
- Negative exponents
- Negative exponents
- Equations with negative exponents
Chapter 2: Exponential and logarithmic growth
- Exponential growth
- The notion of exponential function
- Exponential growth
- Logarithmic growth
- The notion of logarithm
- Rules of calculation for logarithms
- Equations with logarithms
- Future value
- Future value without additional payments
- Present value
- Calculating interest and duration
- Equivalent percentages
- Other applications of exp and log
Chapter 3: Sequences and series
- The notions of sequence and series
- The notions of sequence and series
- Arithmetic series
- Arithmetic sequences
- Arithmetic series
- Geometric series
- Geometric sequences
- Geometric series
- Financial applications of sequences and series
- Terminal value of a deposit
- Present value of an interest
- Pre and postnumerando interests
- Varying terms, varying interest percentages
- Bullet loan
- Linear loan
- Annuities
- Other applications of sequences and series
Chapter 4: Assessing investments
- Introduction to assessing investments
- Assessing investment proposals
- Accounting approach
- Payback period
- Average rate of return
- Economic approach
- The economic approach
- Discounted payback period
- Net present value
- Internal rate of return
Chapter 5: Functions and optimization
- Differentiation
- Derivative of a polynomial
- Tangent lines
- Optimal order quantity
- Local minima and maxima
- Analysis of functions
- Economical applications
- Economical applications
- Expected return and capital structure
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