Loyola University Chicago

Mathematics and Statistics

MATH 162

Textbook for MATH 161 and MATH 162: Dwyer and Grunwald, “Calculus: Resequenced for Students in STEM”, Preliminary Edition, Wiley.


Note: MATH 162A uses a different textbook. Namely, James Stewart. Calculus, Early Transcendentals (WebAssign eBook) 8th ed. Cengage Learning. Be sure you are reading the correct information.

Review of prerequisite Material from MATH 161

Chapter 6. Techniques of Integration
6.1 Advanced Substitution Techniques
6.2 Integration by Parts
6.3 Trigonometric Substitution
6.4 Integrating Rational Functions
6.5 Improper Integrals
6.6 Approximating Definite Integrals
Chapter 7. Applications of Integration
7.1 Average Value and Area Between Curves
7.2 Arc Length
7.3 Volumes
7.4 Solids of Revolution: Volumes by Shells and Surface Area
7.5 Work
Chapter 8. Vectors and Matrices
8.1 Vectors
8.2 Dot Product
8.3 Matrices
8.4 Determinants and Inverse Matrices
8.5 Cross Product
8.6 Lines and Planes in Space
Chapter 9. Functions of Several Variables 
9.1 Introduction to F’ns of Several Variables
9.2 Limits and Continuity
9.3 Partial Derivatives
9.4 Chain Rule
9.5 Directional Derivatives and Gradients
9.6 Tangent Planes and Linear Approximations
9.7 Extrema and the Second Partials Test
9.8 Lagrange Multipliers
Chapter 10. Double Integrals
10.1 Double Integrals Over Rectangles
10.2 Double Integrals Over Regions
10.3 Double Integrals in Polar Coordinates
10.4 Applications of Double Integrals
Chapter 11. Differential Equations
11.1 Introduction to Differential Equations
11.2 Separable Differential Equations
11.2 Optional: Graphical, Numerical Solutions to Differential Equations
11.3 Optional: Linear First-Order Differential Equations

Should you choose Math 161/162 or Math 131/132?

Any questions about placement in calculus or other 100-level courses that remain after reading that section should be directed to John Houlihan, Mathematics Placement Director. Please e-mail him to set up an appointment.

Math 161/162 (Calculus I, Calculus II) is a traditional calculus sequence covering all the basic topics of one-variable calculus. This sequence is a prerequisite for Multivariable Calculus (Math 263) as well as for almost all higher-level math courses. It is required for all students majoring in Chemistry, Engineering Science, Mathematics, Physics and Statistics. It is highly recommended, although not required, for students majoring in Biology, Computer Science and Economics.

Math 131/132 (Applied Calculus I, Applied Calculus II) is more of a survey sequence covering many of the basic topics in one-variable calculus as well as some topics in multivariable calculus and differential equations. It is a terminal sequence in that it does not satisfy the prerequisites of upper-level mathematics and statistics courses. Students who enjoyed mathematics in high school and earned ACT math scores of 28 and higher or SAT math scores of 660 and higher are encouraged to choose the Math 161/162 sequence.

Center for Tutoring and Academic Excellence

The Center for Tutoring & Academic Excellence offers free collaborative learning opportunities that include small group tutoring and tutor-led study halls to Loyola students. To learn more or request tutoring services, visit the Center for Tutoring & Academic Excellence online at http://www.luc.edu/tutoring.

Loyola Math Club Tutoring

The Loyola Math Club offers free tutoring to students in 100-level MATH courses (and others). 

Click here to see when it is offered this semester.