Math 151

Engineering Mathematics I
Joe Kahlig

Lecture Notes

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