# About EngT 295R

## History

The Ira A. Fulton College of Engineering and Technology found that although many students returning from Church missions had excellent study habits, their recall of pre-mission course work was rusty. Thus, many students struggled for the first couple of weeks as they tried to remember the fundamental concepts of algebra and calculus.

To assist students in a smooth transition back into their math studies, we began offering the week-long Math Refresher Course in 1999. It was so successful that we offered it again during the fall and winter semesters in a format that was spread across each of the semester blocks.

It has since grown every year. We continue to receive feedback that this course has been extremely helpful in refreshing the concepts that students previously learned. It gives students a running start as they return to their studies at BYU. Although this course is offered under the Ira A. Fulton College of Engineering and Technology, it is open to all majors at BYU.

## Topics Covered

- Basic Techniques of Algebra: Manipulating terms, equations, inequalities; solving equations, inequalities; functions, operations with functions; complex numbers; etc.
- Trigonometry: Definitions and basic properties of the trigonometric and hyperbolic functions and their inverses; trigonometric identities, law of sine and cosine; polar coordinates; etc.
- Differential Calculus: Limits, continuity, differentiability, techniques of differentiation, monotonicity, concavity, extrema, inflection points, optimization problems; etc.
- Integral Calculus: Definite and indefinite integrals, Fundamental Theorem of Calculus, techniques of integration, numerical integration, volume, arc length, surface area, mass, center of gravity, Pappus’ theorems, work, improper integrals, etc.
- Sequences and Series: Boundedness, monotonicity, convergence, L’Hôpital’s rule, absolute and conditional convergence, convergence criteria for series, Taylor series, power series, radius of convergence, summation of infinite series, applications, etc.