#### Fall 2023

Section 3233 of MATH1C

Calculus, Third Course -- : Aug 15 - Dec 07 2023

Office Hours: 8:00 pm – 8:30 pm, TTh in Kunde 203; TTh in Kunde 203

MATH 1C on TTh, 6-8 in Kunde 203

**Calculus (Maple) Graphics Library for Select Stewart Calculus Exercises**

(Click on any exercise to see a moveable Maple graphic and brief guide associated exercise with that exercise.)

Click this link for a Word document of the Maple graphics library with brief guide to each exercise.

Unless otherwise noted, all graphics were last updated on 02/10/2023.

**SRJC Course: MATH 1A, First Semester Calculus, Stewart Chapter 6**

Solids of Revolution (volume)

§6.2, #10, Stewart Calculus 8th

§6.2, #14, Stewart Calculus 8th

Arc Length Calculations (NO GRAPHICS)

**SRJC Course: MATH 1B, Second Semester Calculus, Stewart Chapters 8, 12, and 13**

Surface (area) of Revolution

§8.2, #10, Stewart Calculus 8th

§8.2, #16, Stewart Calculus 8th

Area and Volume with Cross Product

§12.4, #28, Stewart Calculus 8th

§12.4, #36, Stewart Calculus 8th

Lines and Planes

§12.5, #13, Stewart Calculus 8th

§12.5, #14, Stewart Calculus 8th

§12.5, #40, Stewart Calculus 8th

Cylinders and Quadric Surfaces

§12.6, #40, Stewart Calculus 8th

§12.6, #42, Stewart Calculus 8th

§12.6, #52, Stewart Calculus 8th

Vector Functions with Space Curves

§13.1, #5, Stewart Calculus 8th

§13.1, #43, Stewart Calculus 8th

§13.1, #46, Stewart Calculus 8th

§13.1, #49, Stewart Calculus 8th

§13.1, #50, Stewart Calculus 8th

Calculus with Vector Functions

§13.2, #20, Stewart Calculus 8th

§13.2, #26, Stewart Calculus 8th

§13.2, #27, Stewart Calculus 8th

TNB Vectors and Planes

§13.3, #14, Stewart Calculus 8th

§13.3, #48, Stewart Calculus 8th

§13.3, #50, Stewart Calculus 8th

Calc. App. and TN Comp. of Acc. Vector

§13.4, #28, Stewart Calculus 8th

§13.4, #40, Stewart Calculus 8th

**SRJC Course: MATH 1C, Third Semester Calculus, Stewart Chapter 14**

Multivariable Functions with Level Curves and Surfaces

§14.1, #6, Stewart Calculus 8th

§14.1, #6 with Contour Map, Stewart Calculus 8th

§14.1, #22, Stewart Calculus 8th

§14.1, #52, Stewart Calculus 8th

§14.1, #54, Stewart Calculus 8th

§14.1, #70, Stewart Calculus 8th

Limits for Functions of Two Variables

§14.2, #10, Stewart Calculus 8th

§14.2, #11, Stewart Calculus 8th

§14.2, #12, Stewart Calculus 8th

§14.2, #13, Stewart Calculus 8th

§14.2, #42, Stewart Calculus 8th

Partial Derivative and Tangent Line Illustrations

§14.3, #11, Stewart Calculus 8th

§14.3, #20, Stewart Calculus 8th

§14.3, #82, Stewart Calculus 8th

Tangent Planes, Linear Approximations, and Differentiability

§14.4, #6, Stewart Calculus 8th

§14.4, #16, Stewart Calculus 8th

§14.4, #20, Stewart Calculus 8th

Directional Derivative and Gradient Vector

§14.6, #12, Stewart Calculus 8th

§14.6, #27b, Stewart Calculus 8th

§14.6, #32, Stewart Calculus 8th

§14.6, #34, Stewart Calculus 8th

Finding Maximum and Minimum Values for Multivariable Functions

§14.7, #16, Stewart Calculus 8th

§14.7, #34, Stewart Calculus 8th

§14.7, #42, Stewart Calculus 8th

§14.7, #44, Stewart Calculus 8th

§14.7, #58, Stewart Calculus 8th

Lagrange Multipliers with Level Surfaces and Curves

§14.8, #6, Stewart Calculus 8th

§14.8, #10, Stewart Calculus 8th

§14.8, #18, Stewart Calculus 8th

§14.8, #45, Stewart Calculus 8th updated on 02/15/2023

**SRJC Course: MATH 1C, Third Semester Calculus, Stewart Chapter 15**

Riemann Sums, Double Integrals, and Volumes

§15.1, #3a, Stewart Calculus 8th

§15.1, #22, Stewart Calculus 8th

§15.1, #42, Stewart Calculus 8th

§15.1, #48, Stewart Calculus 8th

Double Integrals over General Regions, Volumes

§15.2, #26, Stewart Calculus 8th

§15.2, #30, Stewart Calculus 8th

§15.2, #42, Stewart Calculus 8th

Double Integrals with Polar Coordinates

§15.3, #20, Stewart Calculus, 8th

§15.3, #25, Stewart Calculus, 8th

Probability Applications with Double Integrals

Probability Notes (NO GRAPHICS)

§15.4, #30, Stewart Calculus, 8th

§15.4, #31b, Stewart Calculus, 8th

Triple Integrals

§15.6, #22, Stewart Calculus, 8th

§15.6, #40, Stewart Calculus, 8th

Triple Integrals with Cylindrical Coordinates

§15.7, #22, Stewart Calculus, 8th

§15.7, #23, Stewart Calculus, 8th

Triple Integrals with Spherical Coordinates

§15.8, #27, Stewart Calculus, 8th

§15.8, #46, Stewart Calculus, 8th

Change of Variables

§15.9, #21, Stewart Calculus, 8th

**SRJC Course: MATH 1C, Third Semester Calculus, Stewart Chapter 16**

Vector Fields, Gradient Fields

§16.1, #24, Stewart Calculus, 8th

§16.1, #28, Stewart Calculus, 8th

NOT AN EXERCISE: Vector Field Examples

Line Integrals and Line Integrals over Vector Fields

§16.2, #6, Stewart Calculus, 8th

§16.2, #42, Stewart Calculus, 8th

§16.2, #48, Stewart Calculus, 8th

The Fundamental Theorem of Line Integrals

§16.3, #18, Stewart Calculus, 8th

§16.3, #30, Stewart Calculus, 8th

Green's Theorem

§16.4, #12, Stewart Calculus, 8th

§16.4, #14, Stewart Calculus, 8th

Curl and Divergence

§16.5, #21, Stewart Calculus, 8th

§16.5, #22, Stewart Calculus, 8th

Parametric Surfaces

§16.6, #24, Stewart Calculus, 8th

§16.6, #29, Stewart Calculus, 8th

§16.6, #32, Stewart Calculus, 8th

Surface Integrals and Surface Integrals over Vector Fields

Sample Surface Integral Problems PDF

§16.7, #44, Stewart Calculus, 8th

§16.7, #46, Stewart Calculus, 8th

Stokes' Theorem

§16.8, #4, Stewart Calculus, 8th

§16.8, #12, Stewart Calculus, 8th

*Please let me know if you have a concern/suggest an edit. Thank you!*