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Essential Calculus Skills
Chris McMullen, Ph.D.
Includes derivatives, integrals, l'Hopital's rule, and full solutions.
Develop fluency with calculus.
Each chapter begins with a concise review of the pertinent concepts and math.
Fully solved examples help to serve as a guide.
Practice exercises help to build fluency.
Check your answers.
The full solution to every problem is included at the back of the book.
Topics include:
Derivatives of polynomials, trig functions, exponentials, and logarithms
the chain rule, product rule, and quotient rule
second derivatives, extreme values, limits, l'Hopital's rule
definite and indefinite integrals
integrals of polynomials, trig functions, exponentials, and logarithms
integration by substitution, integration by parts
multiple integrals
Improve Your Math Fluency
Chris McMullen, Ph.D.
Learn math from a university instructor with over 20 years of teaching experience.
Build Essential Math Skills
Practice solving problems that build essential math skills.
Check your answers at the back of the book to ensure that practice makes perfect.
Develop Confidence
When you check your answer at the back of the book and discover that your solution is correct, this helps to build confidence.
Fully solved examples and concise explanations help get you on the right path.
Physics with calculus, Volume 1 (Motion, including Newton's laws, work/energy, momentum, collisions, rotation, center of mass, moment of inertia, and more)
Learn basic graph theory (no prerequisites) in the context of the surprisingly difficult-to-prove four-color theorem.
The part of calculus that covers infinite sequences and series.
A self-teaching guide (assumes no prior knowledge).
Not just for the Einsteins of the world, anyone fluent with calculus can challenge their skills.