Math 30-2 (Alberta) made completely easy!

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  1. 1Rational Expressions
    1. 1.1Simplifying rational expressions and restrictions
    2. 1.2Adding and subtracting rational expressions
    3. 1.3Multiplying rational expressions
    4. 1.4Dividing rational expressions
    5. 1.5Solving rational equations
    6. 1.6Applications of rational equations
    7. 1.7Simplifying complex fractions
    8. 1.8Partial Fraction Decomposition
  2. 2Reciprocal Functions
    1. 2.1Graphing reciprocals of linear functions
    2. 2.2Graphing reciprocals of quadratic functions
  3. 3Polynomial Functions
    1. 3.1What is a polynomial function?
    2. 3.2Polynomial long division
    3. 3.3Polynomial synthetic division
    4. 3.4Remainder theorem
    5. 3.5Factor theorem
    6. 3.6Rational zero theorem
    7. 3.7Characteristics of polynomial graphs
    8. 3.8Multiplicities of polynomials
    9. 3.9Imaginary zeros of polynomials
    10. 3.10Determining the equation of a polynomial function
    11. 3.11Applications of polynomial functions
    12. 3.12Solving polynomial inequalities
    13. 3.13Fundamental theorem of algebra
    14. 3.14Descartes' rule of signs
  4. 4Exponential Functions
    1. 4.1Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
    2. 4.2Exponents: Division rule axay=a(xy){a^x \over a^y}=a^{(x-y)}
    3. 4.3Exponents: Power rule (ax)y=a(xy) (a^x)^y = a^{(x\cdot y)}
    4. 4.4Exponents: Negative exponents
    5. 4.5Exponents: Zero exponent: a0=1 a^0 = 1
    6. 4.6Exponents: Rational exponents
    7. 4.7Solving exponential equations using exponent rules
    8. 4.8Graphing exponential functions
    9. 4.9Graphing transformations of exponential functions
    10. 4.10Finding an exponential function given its graph
  5. 5Logarithmic Functions
    1. 5.1What is a logarithm?
    2. 5.2Converting from logarithmic form to exponential form
    3. 5.3Evaluating logarithms without a calculator
    4. 5.4Common logarithms
    5. 5.5Natural log: ln
    6. 5.6Evaluating logarithms using change-of-base formula
    7. 5.7Converting from exponential form to logarithmic form
    8. 5.8Solving exponential equations with logarithms
    9. 5.9Product rule of logarithms
    10. 5.10Quotient rule of logarithms
    11. 5.11Combining product rule and quotient rule in logarithms
    12. 5.12Evaluating logarithms using logarithm rules
    13. 5.13Solving logarithmic equations
    14. 5.14Graphing logarithmic functions
    15. 5.15Finding a logarithmic function given its graph
  6. 6Applications of Exponential and Logarithmic Functions
    1. 6.1Exponential growth and decay by a factor
    2. 6.2Exponential decay: Half-life
    3. 6.3Exponential growth and decay by percentage
    4. 6.4Finance: Compound interest
    5. 6.5Continuous growth and decay
    6. 6.6Logarithmic scale: Richter scale (earthquake)
    7. 6.7Logarithmic scale: pH scale
    8. 6.8Logarithmic scale: dB scale
    9. 6.9Finance: Future value and present value
  7. 7Data Collection
    1. 7.1Influencing factors in data collection
    2. 7.2Data collection
    3. 7.3Introduction to probability
  8. 8Permutations and Combinations
    1. 8.1Fundamental counting principle
    2. 8.2Factorial notation
    3. 8.3Path counting problems
    4. 8.4Permutation vs. Combination
    5. 8.5Permutations
    6. 8.6Combinations
    7. 8.7Problems involving both permutations and combinations
    8. 8.8Pascal's triangle
    9. 8.9Binomial theorem
  9. 9Probability
    1. 9.1Introduction to probability
    2. 9.2Determining probabilities using tree diagrams and tables
    3. 9.3Probability of independent events
    4. 9.4Probability with Venn diagrams
    5. 9.5Addition rule for "OR"
    6. 9.6Multiplication rule for "AND"
    7. 9.7Conditional probability
    8. 9.8Probability with permutations and combinations
  10. 10Scatter Plots and Best Fit Line
    1. 10.1Bivariate, scatter plots and correlation
    2. 10.2Regression analysis
    3. 10.3Equation of the best fit line
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