General Mathematics

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General Mathematics by Mind Map: General Mathematics

1. Functions

1.1. increasing, decreasing, or constant

1.2. evaluated to give a table of values

1.2.1. used for graphs relative maximum and/or relative minimum domain range

1.3. added

1.4. subtracted

1.5. multiplied

1.5.1. Rational Functions Rational Expressions Rational equations Rational inequalities

1.6. divided

1.7. composed

1.8. Functions and Their Graphs

2. Exponential and Logarithmic Functions

2.1. Inverse Functions

2.1.1. evaluated by table of values used for graphing

2.2. Exponential Functions

2.2.1. Exponential expressions Exponential equations Exponential inequalities

2.3. Logarithmic Functions

2.3.1. Logarithmic expressions Logarithmic equations Logarithmic inequalities

3. Basic Business Math

3.1. Money

3.1.1. Loans

3.1.2. Stocks and/or bonds

3.1.3. Interest Simple interest Compound interest

3.1.4. Types of Stock Common stock Preferred stock

3.1.5. Annuities Simple annuity General annuity Ordinary annuity Deferred annuity

3.2. Stocks

3.2.1. dividend/shares

3.2.2. earnings per share

3.2.3. market capilatization

3.2.4. initial public offering

3.2.5. going public

3.2.6. Stock Table 52 week-high and low ticker symbol dividend per share price-earnings ratio trading volume closing price net change

3.2.7. Stock Trading

3.3. Bonds

3.3.1. face value (par value)

3.3.2. coupon

3.3.3. maturity

3.3.4. issuer

3.3.5. redemption date

3.3.6. bid price

3.3.7. yield

3.4. Business and Consumer Loans

3.4.1. Amortization Amortization Schedule Period Periodic payment Interest payment Principal payment Outstanding principal

3.4.2. Mortage fixed-rate mortagages adjustable rate mortages

4. Logic

4.1. Propositions

4.1.1. Conditional Propositions

4.1.2. Compound Propositions Propositional connective conjunction disjunction exclusive implication biconditional respectively disjunction biconditional implication Tautology Contradictions Contradiction Contingency Logical Equivalence Identity Laws Domination Laws Idempotent Laws Double Negation Laws Commutative Laws Associative Laws Distributive Laws De Morgan's Laws

4.1.3. Simple Propositions

4.1.4. Truth Value Truth table Methods of Proofs

4.2. Rules of Inference and Fallacies

4.2.1. Rule of Interference Addition Simplification Conjuction Modus ponens Modus tollens Hypothetical sylogism Disjunctive syllogism

4.2.2. Types of Fallacies Fallacy of affirming the conclusion Fallacy of denying the conclusion

4.3. Methods of Proofs

4.3.1. direct

4.3.2. indirect

4.3.3. existence

4.3.4. nonexistence