Welcome to Calculus 1

Welcome to MTH 141! This collection of notes and review videos is meant to supplement our regularly scheduled lecture and preparation videos. These should not be used as a replacement.

Happy Calculus-ing!

~ Prof. Casper

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Limits (L1-L8)

• (L1) Graphical Limits

• (L2) Numerical Limits

• (L3) Algebraic Limits

• (L4) Infinite Limits

• (L5) Indeterminate Forms (0/0)

• (L6) Continuity

• (L7) Limits at Infinity

Derivatives (Conceptual) (DC1-DC7)

• DC1 Tangent Lines

• DC2 Instantaneous Velocity

• DC3 Definition of Derivative

• DC4 Differentiability

• DC5 Graphical Estimation of the Derivative

• DC6 Numerical Estimation of the Derivative

• DC7: Equations of Tangent Lines

Derivative Rules (D1-D9)

• D1: Basic Derivative Rules

• D2: Product Rule

• D3: Quotient Rule

• D4-D6: Chain Rule

• D7: Using Multiple Derivative Rules

• D8: Implicit Differentiation

• D9: Logarithmic Differentiation

Derivatives and Graphs (DG1-DG5)

• DG1: Graphically Finding Intervals of Increase / Decrease

• DG2: Computationally Finding Intervals of Increase / Decrease

• DG3: Graphically Finding Intervals of Concavity

• DG4: Computationally Finding Intervals of Concavity

• DG5: Reading Graphs of Derivatives

Optimization (O1-O5)

• O1: First Derivative Test

• O2: Second Derivative Test

• O3: Finding Absolute Extrema

• O4: Constrained Optimization

• O5: Applied Optimization

Integrals (I1-I4)

• I1: Antiderivatives & Indefinite Integrals

• I2: Definite Integrals

• I3: Substitution Rule for Indefinite Integrals

• I4: Substitution Rule for Definite Integrals

Integrals Conceptual (IC1-IC4)

• IC1: Particular Antiderivatives

• IC2: Area Under the Graph

• IC3: Net Change

• IC4: Riemann Sums