Engineering Mathematics III
Joe Kahlig
The class notes contain the concepts and problems to be covered during lecture. Printing and bringing a copy of the notes to class will allow you to spend less time trying to write down all of the information and more time understanding the material/problems. Additional examples may be included during the lectures to clarify/illustrate concepts.
As an alternate to taking notes on paper, consider taking notes on your laptop using OneNote, or a similar program.
Completed notes will be posted after the section has been finished. Be advised that the notes may not included everything that is said during class.
The problems will be completely worked out but some additional information (hints, warnings, analysis of the problem,..) may not we written out in the notes.
Exam 1 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
12.1: Three Dimensional Coordinate Systems | blank | completed | video video pdf |
questions | solutions |
12.2: Vectors | blank | completed | video video pdf |
questions | solutions |
12.3: The Dot Product | blank | completed | video video pdf |
questions | solutions |
12.4: The Cross Product | blank | completed | part a part b video pdf |
questions | solutions |
12.5: Equations of Lines and Planes | blank | completed | part a part b part c video pdf |
questions | solutions |
12.6: Quadratic Surfaces Quadratic chart |
blank | watch video for concepts | video video pdf |
||
13.1: Vector Functions and Space Curves | blank | completed | part a part b video pdf |
questions | solutions |
13.2: Derivative and Integrals of Vector Functions | blank | completed | video video pdf |
questions | solutions |
13.3: Arc Length and Curvature | blank | completed | part a part b video pdf |
questions | solutions |
13.4: Motion in Space: Velocity and Acceleration | blank | video video pdf |
|||
Exam 1 Info. | info |
Exam 2 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
14.1: Functions of Several Variables | blank | completed | part a part b video pdf |
questions | solutions |
14.3: Partial Derivatives | blank | completed | part a part b video pdf |
questions | solutions |
14.4: Tangent Planes and Differentials | blank | completed | part a part b video pdf |
questions | solutions |
14.5: The Chain Rule | blank | completed | part a part b video pdf |
questions | solutions |
14.6: Directional Derivatives and the Gradient Vector | blank | completed | part a part b video pdf |
questions | solutions |
14.7: Maximum and Minimum Values | blank | completed | part a part b part c video pdf |
questions | solutions |
14.8: Lagrange Multipliers | blank | completed | part a part b video pdf |
questions | solutions |
Exam 2 Info. | info |
Exam 3 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions |
10.3: Review of Polar Coordinates You should review this section on your own. This material was covered in Math 152. |
blank |
part a part b part c video pdf |
|||
15.1: Double Integrals over Rectangles | blank | completed |
part a part b video pdf |
questions | solutions |
15.2: Double Integrals over General Regions Math 152 lecture notes on Integration: see 7.1, 7.2, 7.3, 7.4 |
blank | completed |
part a part b part c video pdf |
questions | solutions |
15.3: Double Integrals in Polar Coordinates | blank | completed |
part a part b video pdf |
questions | solutions |
15.4: Applications of Double Integrals | blank |
completed | video video pdf |
questions | solutions |
15.5: Surface Area | blank | completed | video video pdf |
questions | solutions |
15.6: Triple Integrals | blank | completed |
part a part b part c video pdf |
questions | solutions |
15.7: Triple Integrals in Cylindrical Coordinates | blank | completed | video video pdf |
questions | solutions |
15.8: Triple Integrals in Spherical Coordinates | blank | completed | part a part b part c video pdf |
questions | solutions |
15.9: Change of Variables | blank | completed | part a part b part c video pdf |
questions | solutions |
Exam 3 Info. | info |
Final Exam Material | ||||||
---|---|---|---|---|---|---|
Section | Notes | Solutions | videos | Additional Problems |
Additional Problem Solutions | |
The material from 14.7 (the section over absolute maximum and absolute minimum) will also be on the final exam. |
||||||
16.1: Vector Fields | blank | completed | video video pdf |
|||
16.2: Line Integrals | blank | completed | part a part b part c video pdf |
questions | solutions | |
16.3: Fundamental Theorem for Line Integrals | blank | completed | part a part b video pdf |
questions | solutions | |
16.4: Green's Theorem | blank | completed | part a part b video pdf |
questions | solutions | |
16.5: Curl and Divergence | blank | completed | video video pdf |
questions | solutions | |
16.6: Parametric Surfaces and Their Areas | blank | partial | part a part b video pdf |
questions | solutions | |
16.7: Surface Integrals | blank | part a part b part c video pdf |
questions | solutions | ||
16.8: Stokes' Theorem | blank | part a part b video pdf |
questions | solutions | ||
16.9: Divergence Theorem | blank | video video pdf |
questions | solutions | ||
Final Exam Info. | info | Disclaimer: The following should not be used as your sole source of preparation for the exam. You should also review lecture notes, Week-in-Review notes, and homework. I have not looked at this sample exam nor have I looked at the solutions. sample Final from Amy Austin sample Final solutions from Amy Austin |