Engineering Mathematics I
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 completed 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 completed notes.
Exam 1 Material | |||||
---|---|---|---|---|---|
Section | Notes | Solutions | Additional Problems |
Additional Problem Solutions | |
Appendix J.1: Vectors webassign vector information |
blank | completed | questions | AP#1, AP#2, AP#3, AP#4, AP#5, | |
Appendix J.2: Dot Product | blank | completed | questions | AP#1, AP#2, AP#3, AP#4, AP#5, AP#6 | |
Appendix J.3: Vector Functions | blank | completed | questions | AP#1, AP#2, AP#3, AP#4, AP#5 | |
1.5: Inverse Trigonometric Functions only this part of this section. |
blank | completed | questions | AP#1 , AP#2 | |
2.2: The Limit of a Function | blank | completed | questions | AP#1, AP#2 | |
2.3: Calculating Limits Using Limit Laws | blank | completed | questions | solutions | |
2.5: Continuity | blank | completed | questions | AP#1, AP#2, AP#3, AP#4 | |
2.6: Limits at Infinity | blank | completed | questions | solutions | |
2.7: Tangent, Velocities, and Other Rates of Change | blank | completed | questions | solutions | |
2.8: Derivatives | blank | completed | questions | AP#1, AP#2, |
Exam 2 Material | ||||
---|---|---|---|---|
Section | Notes | Solutions | Additional Problems |
Additional Problem Solutions |
3.1: Derivatives of Polynomials and Exponential Functions | blank | completed | questions | solutions |
3.2: Product and Quotient Rules | blank | completed | questions | Solutions |
3.3: Derivatives of Trigonometric Functions | blank | completed | questions | Solutions |
3.4: The Chain Rule | blank | completed | questions | Solutions |
3.5: Implicit Differentiation | blank | completed | questions | Solutions |
3.6: Derivatives of Logarithmic Functions | blank | completed | questions | Solutions |
Appendix K.1: Derivatives of Vector Functions | blank | completed | questions | Solutions |
Appendix K.2: Slopes and Tangents of Parametric Curves | blank | completed | questions | AP#1, AP#2 |
3.7: Rates of Change in the Natural and Social Sciences | blank | completed | questions | Solutions |
3.8: Exponential Growth and Decay | blank | completed | questions | APs |
3.9: Related Rates: | blank | completed | questions | AP#1, AP#2, AP#3 |
Exam 3 Material | ||||
---|---|---|---|---|
Section | Notes | Solutions | Additional Problems |
Additional Problem Solutions |
3.10: Linear Approximation and Differentials | blank | completed | questions | AP#1, AP#2 |
4.1-4.3 Part 1: What does the derivatives say about the function? | blank | completed | questions | Solutions |
4.1-4.3 Part 2: Increase, Decrease, Concavity, and Local Extrema | blank | completed | questions | Solutions |
4.1-4.3 Part 3: Absolute Maximum/Minimum and other Theorems | blank | completed | questions | Solutions |
4.4: Indeterminate Forms and L'Hopital's Rule | blank | completed | questions | APs |
4.7: Optimization Problems | blank | completed | questions | Solutions |
4.9: Antiderivatives | blank | completed | questions | Solutions |
5.1: Areas and Distances | blank | completed | questions | Solutions |
5.2: The Definite Integral | blank | completed | questions | Solutions |
Additional Final Exam Material | ||||
---|---|---|---|---|
Section | Notes | Solutions | Additional Problems |
Additional Problem Solutions |
5.3: Fundamental Theorem of Calculus | blank | completed | ||
5.4: Indefinite Integrals and the Net Change Theorem | blank | completed | ||
5.5: Substitution | blank | completed | questions | AP#1, AP#2, AP#3, AP#4, AP#5, AP#6, AP#7 |