PatrickJMT

49 pages of S+S love. Sequence and Series Questions and Solutions for Calculus. Questions Related to : convergent and divergent sequences, geometric series, limit comparison test, direct comparison test, integral test, absolute and condition convergence, Taylor / MacLaurin Series and more. In this file, I have questions related to sequence and series questions that a calculus student would encounter.

Calculus : Improper Integrals. This file contains 16 questions related to evaluating improper integrals in calculus along with detailed solutions.

30 Challenging Integration Problems with Detailed Solutions

Trigonometry Review Questions and Solutions. 30 questions related to trigonometry: solving equations, proving identities, right triangles and SOH CAH TOA, converting between radians and degrees, finding trig ratios for a given angle measures.

Calculus : Integration using Partial Fractions. This file contains 15 problems involving the use of partial fractions as well as detailed solutions.

L'Hopital's / L'Hospital's Rule - Questions and Solutions. In this file, there are 20 questions with detailed solutions relating to L'H's rule.

Critical Numbers, First and Second Derivatives. In this file, there are problems related to finding critical numbers, intervals of increase / decrease, local maximums and minimums, concavity and inflection points.

Calculus : The Substitution Rule / U-substitution. This file contains 25 questions related to the substitution rule in calculus along with detailed solutions.

Calculus : Integration by Parts. This file contains 10 questions involving integration by parts along with detailed solutions.

Calculus : Trigonometric Integrals. Questions related to evaluating trigonometric integrals along with detailed solutions.

Quadratic Functions : Equations , Inequalities and Graphs. This file contains problems related to solving quadratic equations by: factoring, the quadratic formula and by completing the square. I also show a couple of examples of solving quadratic inequalities as well as problems related to graphing. Detailed solutions are included.

Calculus : Trigonometric Substitution. This file contains 13 questions related to trigonometric substitution along with detailed solutions.

Calculus: Basic Antiderivatives, . This file contains questions related to finding basic antiderivatives. These problems would be similar to those first encountered by a calculus student that is studying antiderivatives.

Complex Numbers : Adding, Subtracting, Multiplying, Dividing. This file contains a bunch of questions about complex numbers as well as detailed solutions.

Algebra Review : Exponential and Logarithm Functions. This file contains problems related to evaluating logarithms, expanding and condensing logarithms, graphing logarithm and exponential graphs as well as solving equations involving exponential and logarithm functions. Detailed solutions are included.

Trigonometric Equations. Questions and solutions related to solving trigonometric equations.

Trigonometric Basics. Questions and solutions related to the basics of trigonometry.

The Unit Circle. Questions and solutions related to the unit circle.

Simplifying Complex Fractions. Questions and solutions related to simplifying complex fractions.

Trigonometric Identities. Questions and solutions related to trigonometric identities.