Spring 2026 Common Course Syllabus

Upon successful completion of MATH 2070/2071 students will be able to:

1. Calculate the area under a curve using the sums of areas, a definite integral, or an improper integral.
2. Interpret points and areas from a rate-of-change graph in context.
3. Describe and sketch an accumulation function graph when given its corresponding rate-of-change graph.
4. Determine the integral formula for constant, linear, polynomial, negative powers of x, and exponential functions.
5. Calculate the area between two rate-of-change (derivative) curves.
6. Find the average value and average rate-of-change of a continuous function over a closed interval and give an interpretation of those values in an applied context.
7. Calculate the present value, future value, principal, and interest earned for an investment described or modeled as a continuous income stream.
8. Identify and calculate key points and areas on the graphs of demand and supply functions and solve applied problems in economics.
9. Calculate and interpret price, quantity, revenue, producer surplus, consumer surplus, and total social gain at market equilibrium.
10. Define probability density functions and solve related questions of probability.
11. Evaluate multivariable functions, solve multivariable equations, and interpret the results of such calculations in an applied context.
12. Write mathematical models from single-variable data or a cross-section of multivariable data and use these models to make calculations.
13. Find partial derivatives, find the slope of a contour curve, and interpret the results of such calculations in an applied context.
14. Locate and classify critical points of a multivariable function of the form f (x, y).
15. Locate and classify the constrained optimal point of elementary multivariable functions given a linear constraint.

In meeting the above listed objectives, you will simultaneously satisfy the Mathematics General Education Competency of demonstrating mathematical literacy through interpretation of mathematical forms and performing calculations.

Below are copies of the unit exams from two prior semesters and their keys.  Because test dates, textbooks, and the order of materials may change from semester to semester, your exams may include more or fewer topics than what is represented on these exams.  The section numbers listed in the exam headers reflect the numbering of the current text to help you see the correlations with the current semester.

• Sample Test 1a and KEY (6.1-6.6)
• Sample Test 1b and KEY (6.1-6.6)
• Sample Test 2a and KEY (6.7-7.5)
• Sample Test 2b and KEY (6.7-7.5)
• Sample Test 3a and KEY (7.6-9.2)
• Sample Test 3b and KEY (7.6-9.2)

Edfinity with Office Hours

Edfinity is a very cost-efficient online homework and exam platform which includes several advanced features such as Office Hours guided tutorials.  To gain access to the Edfinity assignments and content for this course, you must register through the link provided in your Canvas course.  (Please do NOT try to register before your Canvas course is published.) To complete your registration, you will be prompted to create an account and pay the subscription fee by credit card or enter an access code purchased through the campus bookstore.

After registering through Canvas, you may access your homework through the links provided in Canvas or directly through Edfinity's website.

1020 Review Materials

Videos:

• TI-84 Setup
• Working with functions on the TI-84
• Modeling Overview

Documents:

• Modeling Overview
• Math 1020 Review Activity and KEY

Additional Practice Exercises

• Chapter 6 Mixed Practice and KEY
• Chapter 7 Mixed Practice and KEY
• Chapter 8 Mixed Practice and KEY
• Chapter 9 Mixed Practice and KEY
• Final Exam Mixed Practice and KEY

Academic Success Center (http://www.clemson.edu/asc)

The Academic Success Center supports your success in this course through the following FREE programs. Click on each link to see  information about these excellent resources to support your learning.

• Peer-Assisted Learning (PAL)
  
• ASC Tutoring

Math/Stats Help Center

The School of Mathematical and Statistical Sciences offers FREE help/tutoring for this course. See the Additional Help page in Canvas for more details.

SMSS Math-In

On the Saturday prior to final exams, SMSS offers help from 10am to 5pm in the M-section of Martin Hall.  Drop in to ask the tutors specific questions or stay and study with other Math 2070 students.