Click to jump to the **Math Tip Sheets**, the **Math Advice Videos, **or the** Math Past Term Tests.**

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## Math Tip Sheets

**Business and Commerce Advice**

#### Area between Curves

Definition of a Derivative

Differential Equations

Differentiation Techniques

Implicit Differentiation

Improper Integrals

Indefinite Integrals

Integration by Parts

Integration by Partial Fraction Decomposition

Integration by Substitution

Lagrange Multipliers

Limits as x approaches a Real Number

Limits as x approaches Infinity

Relative Maximum and Relative Minimum

The Fundamental Theorem of Calculus

**Life and Physical Sciences Advice**

Alternating Series Test

Absolute Convergence & Conditional Convergence

Area between Curves

Comparison Test & Limit Comparison Test

Continuity

Definition of a Derivative

Differential Equations

Differentiation Techniques

Divergence Test

Implicit Differentiation

Improper Integrals

Indefinite Integrals

Integral Test

Integration by Partial Fraction Decomposition

Integration by Parts

Integration by Substitution

Integration by Trigonometric Substitution

L’Hopital's Rule

Limits as x approaches a Real Number

Limits as x approaches Infinity

The Fundamental Theorem of Calculus

**Mathematical Reasoning Advice**

Mathematical Induction and Strong Induction

**Advanced Math (for Physics) Advice**

Partial Derivatives, Gradient, Divergence and Curl

**Linear Algebra Advice**

## Math Advice Videos

**Business and Commerce Advice**

First-Year Financial Math Videos

Just-in-time Help for Economics

Just-in-time Help for Management

**Life and Physical Sciences Advice**

Precalculus Videos

First-Year Calculus Videos

Just-in-time Stats for Biology

## Math Past Term Tests

**MAT132H **

Term Test I Fall-Winter 2019-2020 (PDF)

Term Test II Fall-Winter 2019-2020 (PDF)

**MAT133Y**

Term Test I Solutions Fall-Winter 2019-2020 (PDF)

Term Test II Solutions Fall-Winter 2019-2020 (PDF)

**MAT135H**

Term Test I Summer 2020 (PDF)

Term Test II Summer 2020 (PDF)

Term Test III Summer 2020 (PDF)

**MAT137Y**

Term Test I Fall-Winter 2019-2020 (PDF)

Term Test II Fall-Winter 2019-2020 (PDF)

**MAT157Y**