This course follows a student-centered approach that recognizes and respects differences in learning styles. Students are expected to use those resources that are effective for them. Effectiveness can be measured by performance on the in-class training assignments and exams. The main resource used will be Hippocampus, which has lectures as well as practice problems.

Note: the first student to notify me of a broken link, or that sends me an additional resource worthy of being posted, will receive extra credit.

Background resources:Additional Resources:
Midnight Tutor on study skills, precalculus highlights, graphing All of Thomas, including the textbook, exercises, and videos
Harvey Mudd algebra review All of Strang, including the textbook, exercises, and solutions
Thomas 1.1 on real numbers Jerison gives an overview of the differential calculus
Thomas 1.2 on lines, circles, parabolas Hollis has many calculus lectures
Strang 3.5 on conic sections Johnson has many calculus lectures
PatrickJMT has many videos on algebra MathTV has many short video clips
Khan has many videos on algebra
HippoCampus main page

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Friday 1/20: Functions
Hippocampus: general introduction to calculus, objectives, lesson, exercises, solutions
Other Resources: Midnight Tutor, Thomas 1.3, Patrick 1 2 3, Khan 1 2 3 4 5 6 7, Wikipedia
Monday 1/23: Piecewise Defined Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 1.3, Patrick 1 2 3 4, Wikipedia
Wednesday 1/25: Inequalities
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Patrick 1 2 3 4 5 6 7 8 9 10 11, Khan 1 2 3 4 5, Wikipedia
Friday 1/27: Operations on Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 1.5, Patrick 1 2 3 4 5, Khan 1 2 3 4, Wikipedia 1 2
Monday 1/30: Transcendental Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Patrick 1 2 3 4 5 6, Khan 1 2 3 4 5 6 7, Wikipedia 1 2
Wednesday 2/1: Transformations of Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Patrick 1 2 3 4 5, Wikipedia
Friday 2/3: Trigonometric Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 1.6, Patrick 1 2 3 4 5 6, Khan 1 2 3 4 5 6, Wikipedia
Monday 2/6: Polynomial and Rational Functions
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 1.4, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia 1 2
Wednesday 2/8: Introduction to Limits
Hippocampus: general introduction to limits, objectives, lesson, exercises, solutions
Other Resources: Midnight Tutor, Strang 2.6, Thomas 2.1, Jerison, Patrick 1 2 3 4 5 6 7, Khan 1 2 3, Wikipedia
Friday 2/10: Finding Limits
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Thomas 2.2, Patrick, Khan 1 2 3 4 5, Wikipedia
Monday 2/13: One-Sided Limits
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 2.4, Patrick, Wikipedia
Wednesday 2/15: Infinite Limits
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 2.4, Patrick, Wikipedia
Friday 2/17: Limits at Infinity
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 2.5, Patrick 1 2 3, Wikipedia
Monday 2/20: Trigonometric Limits
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Midnight Tutor, Patrick, Khan
Wednesday 2/22: Continuity
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 2.7, Thomas 2.6, Patrick 1 2 3, Wikipedia
Friday 2/24: Exam 1 Review

Monday 2/27: Exam 1


Wednesday 2/29: Introduction to Derivatives
Hippocampus: general introduction to derivatives, objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 2.1, 2.2, Thomas 3.1, Jerison, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia
Friday 3/2, Monday 3/5: Differentiation Rules
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd 1 2, Strang 2.5, Thomas 3.2, Thomas 3.4, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia
Wednesday 3/7: Chain Rule
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 4.1, Thomas 3.5, Jerison, Patrick 1 2 3 4 5 6 7 8, Khan 1 2 3, Wikipedia
Friday 3/9: Derivative of Exponentials
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 2.4, Thomas 7.4, Jerison, Patrick, Khan, Wikipedia
Monday 3/12: Derivative of Logarithms
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 7.4, Patrick 1 2, Khan 1 2, Wikipedia
Wednesday 3/14: Derivatives of Inverses
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Strang 4.3, Thomas 7.1, Patrick 1 2, Wikipedia
Friday 3/16: Differentiability vs. Continuity
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Miscellaneous 1 2, Wikipedia
Monday 3/19: Implicit Differentiation
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Strang 4.2, Thomas 3.6, Jerison, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia
Wednesday 3/21: Logarithmic Differentiation
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 7.2, Patrick 1 2 3, Wikipedia
Friday 3/23: Exam 2 Review

Monday 4/2: Exam 2


Wednesday 4/4: Tangent and Normal Lines
Hippocampus: general introduction to applications of derivatives, objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 2.3, Jerison, Khan, Wikipedia
Friday 4/6: Position and Velocity
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 4.3, Patrick 1 2, Khan, Wikipedia
Monday 4/9: Related Rates
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Midnight Tutor 1 2 3 4 5 6 7 8 9, Thomas 3.7, Jerison, Patrick 1 2 3 4 5, Khan 1 2, Wikipedia
Wednesday 4/11: Local Extrema
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Midnight Tutor, Strang 3.2, Thomas 4.1, Jerison, Patrick 1 2 3 4 5, Khan 1 2 3, Wikipedia
Friday 4/13: Concavity
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 3.3, Thomas 4.4, Patrick, Khan, Wikipedia
Monday 4/16: Absolute Extrema
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Thomas 4.1, Jerison, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia
Wednesday 4/18: Mean Value Theorem
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 3.8, Thomas 4.2, Jerison, Patrick, Khan, Wikipedia
Friday 4/20: Linear Approximation and Differentials
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Strang 3.1, Thomas 3.8, Patrick, Khan 1 2, Wikipedia 1 2
Monday 4/23: L'Hospital's Rule
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Midnight Tutor, Strang 3.8, Thomas 4.6, Patrick 1 2 3 4, Khan 1 2 3 4, Wikipedia
Wednesday 4/25: Antiderivatives
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 5.2, Thomas 4.8, Jerison, Khan 1 2, Wikipedia
Friday 4/27: Substitution
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 5.4, Midnight Tutor 1 2 3, Thomas 5.5, Patrick 1 2 3, Khan 1 2 3, Wikipedia
Monday 4/30: Antiderivatives of Exponentials
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Patrick 1 2, Wikipedia
Wednesday 5/2, Friday 5/4: The Definite Integral
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 5.1, Midnight Tutor 1 2 3 4, Thomas 5.3, Jerison, Patrick 1 2 3 4 5, Khan 1 2 3, Wikipedia
Monday 5/7: Fundamental Theorem of Calculus
Hippocampus: objectives, lesson, exercises, solutions
Other Resources: Harvey Mudd, Strang 5.5, Midnight Tutor 1 2 3 4 5 6 7, Thomas 5.4, Jerison 1 2, Patrick, Khan 1 2, Wikipedia

FRIDAY 5/11: FINAL EXAM, 10:30am-12:30pm, PS 130

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