Skip to main content
Indietro

MA 1021 Calculus 1: Course Structure, Topics, and Study Guide

NotePraticaVideolezioni

Guida di studio - Impara con i video

Lezioni curate abbinate al materiale che hai caricato – impara ogni argomento passo dopo passo.

Introduction to Functions

  • Percorso guidato
    Relations and Functions
    5:20
  • Introduction to Calculus Channel
    1:36
  • Percorso guidato
    Finding the Domain and Range of a Graph
    5:10

Introduction to Trigonometric Functions

  • Trig Values in Quadrants II, III, & IV Example 1
    3:03
  • Trig Values in Quadrants II, III, & IV Example 2
    8:22
  • Percorso guidato
    Introduction to Trigonometric Functions
    6:04

Inverse Trigonometric Functions

  • Example 1
    1:58
  • Inverse Tangent
    3:17
  • Inverse Cosine
    4:49

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Tangent Lines and Derivatives

  • Percorso guidato
    Slopes of Tangent Lines
    05:13
  • Percorso guidato
    Determine Continuity Algebraically Example 1
    05:10
  • Percorso guidato
    Equations of Tangent Lines
    05:14

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Derivatives of Trig Functions

  • Derivatives of Sine & Cosine
    03:53
  • Derivatives of Other Trig Functions Example 1
    01:32
  • Higher Order Derivatives of Sine & Cosine
    03:51

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Implicit Differentiation

  • Percorso guidato
    Finding The Implicit Derivative
    05:14
  • Percorso guidato
    Finding The Implicit Derivative Example 1
    09:16

Related Rates

  • Percorso guidato
    Intro To Related Rates
    04:16
  • Percorso guidato
    Real World Application
    06:16
  • Percorso guidato
    Changing Geometries
    06:35

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Concavity

  • Determining Concavity Given a Function Example 3
    02:33
  • Determining Concavity from the Graph of f' or f''
    03:56
  • Determining Concavity Given A Function Example 2
    6:08

The Second Derivative Test

  • The Second Derivative Test: Finding Local Extrema
    06:02
  • The Second Derivative Test: Finding Local Extrema Example 1
    05:34

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49