Embedded Files
SYLLABUS, REVIEW MATERIALS & LECTURE NOTES
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Course Syllabus
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Exam Review Materials
Some Formulas from Analytic Geometry and Trigonometry
Math 151 - Calculus I Review Problem Set (Solutions Key)
Strategy for Mathematical Problem Solving
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Quiz 1 - Monday, June 9th
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Exam 1 - Monday, June 16th
Exam 1 Review Problem Set (Solutions Key)
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Quiz 2 - Tuesday, June 24th
Exam 2 - Monday, June 30th
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Exam 2 - Monday, June 30th
Exam 2 Review Problem Set (Solutions Key)
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Take Home Quiz 3 - Due Monday, July 7th
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Exam 3 - Monday, July 14th
Exam 3 Review Problem Set (Solutions Key)
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Exam 4 - Thursday, July 24th
Exam 4 Review Problem Set (Solutions Key)
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Class Lecture Notes
Notes on the Natural Logarithm
Notes on the Natural Exponential Function
Notes on General Exponential & Power Functions
Notes on General Logarithmic Functions
Notes on the Inverse Trigonometric Functions
Notes on Indeterminate Form Limits
Notes on Trigonometric Integrals
Notes on Trigonometric Substitutions
Notes on Partial Fraction Decompositions
Notes on Separable 1st Order DEs
Notes on Direction Fields & Euler's Method
Euler's Method Mathematica Example (pdf screenshots)
Notes on Tangents & Areas for Parametric Curves
Notes on Lengths of Parametric Curves
Notes on Plotting with Polar Coordinates
Notes on Areas & Arc Lengths in Polar Coordinates
Notes on the Arithmetic of Complex Numbers
Notes on Infinite Sequences of Real Numbers
Notes on Absolute vs. Conditional Convergence & Ratio Test
Notes on Function Representation as Power Series
Notes on Exponential Form of a Complex Number
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Class Handouts
Lecture Notes #1 on Approximating ln(2) / (mathematica nb format)
Lecture Notes #2 on Improper Integrals (pdf)
Lecture Notes #3 on the Derivation of the Catenary
Lecture Notes #3.1 Direction Fields & Euler's Method
Lecture Notes #3.2 Euler's Method Mathematica Ex (nb)/(pdf screenshots)
Lecture Notes #4.0 on the Cycloid
Lecture Notes #4.1 on Parametric Equations for Epicycloids
Lecture Notes #4.2 on Areas Bounded by Parameterized Curves
Lecture Notes #4.3 on Shifts and Rotations in Rectangular & Polar Coordinates
Lecture Notes #5 on Polar Points of Vertical & Horizontal Tangency
Lecture Notes #6 on Polar Points of Intersection & Area
Lecture Notes #7.0 on Convergence of an Infinite Series
Lecture Notes #7.1 on the Integral Test & Remainder Theorem
Lecture Notes #8 on Absolute & Conditional Convergence of Infinite Series
Lecture Notes #9 on Taylor Series & Taylor Polynomials
Lecture Notes #10 on Series Convergence Tests
Video Clip of Rectangular & Polar Plot
Polar Graph Paper Templates (pdf) - Download additional templates here
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Tutoring Services
ARC Tutoring in many subject areas is available via Zoom - View the schedule here
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References
Polar Graph Paper Templates (pdf) - Download additional templates here
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Trigonometry Review - Section 1: Angles & their Measure
Trigonometry Review - Section 2: Trig Functions
Trigonometry Review - Section 3: Evaluation of Trig Functions
Trigonometry Review - Section 4: Fundamental Trig Identities
Trigonometry Review - Section 5:Trig Formulas for Sums & Differences
Trigonometry Review - Section 6: Solving Right Triangles
Trigonometry Review - Section 7: Solving Oblique Triangles - Law of Sines
Trigonometry Review - Section 8: Solving Oblique Triangles - Law of Cosines
David Maslanka § Room 204 Rettaliata Engineering Center § maslanka@iit.edu
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