Delaware Technical Community College - MAT261 (2024)

Course content includes solving mathematical models of real world phenomena, including functions, graphs, limits, continuity, and the use of differentiation and integration to solve problems involving business management and computer science applications.




Prerequisite: MAT 162 or MAT 183 or higher

See Course Syllabus

Course Number and Title:

MAT 261 Business Calculus I

Campus Location

  • Dover
  • Georgetown
  • Stanton
  • Wilmington


Prerequisite: MAT 162 or MAT 183 or higher

Course Credits and Hours

4 credit(s)

4 lecture hours/week

0 lab hours/week

Course Description

Course content includes solving mathematical models of real world phenomena, including functions, graphs, limits, continuity, and the use of differentiation and integration to solve problems involving business management and computer science applications.

Additional Materials

Graphing Calculator: TI 83 or TI 84

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - online or visit a campus bookstore. Check your course schedule for the course number and section.


Proctored testing is required for all tests, regardless of the course format. Online students may use any DTCC Testing Center at no additional charge. Additional fees may apply for virtual proctoring or testing at another location.

Core Course Performance Objectives (CCPOs)

  1. Interpret and discuss functions. (CCC 2, 6)
  2. Apply concepts of limits and continuity. (CCC 2, 6)
  3. Compute the derivative of a function. (CCC 2, 6)
  4. Use derivatives to solve application problems. (CCC 2, 6)
  5. Use integrals to solve application problems. (CCC 2, 6)

See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.

Measurable Performance Objectives (MPOs)

Upon completion of this course, the student will:

  1. Interpret and discuss functions.
    1. Evaluate functions.
    2. Graph functions.
    3. Simplify exponential, logarithmic, and rational expressions.
    4. Solve business application problems involving exponential and logarithmic functions, including growth and decay models.
  1. Apply concepts of limits and continuity.
    1. Use graphical, algebraic, and numeric techniques to evaluate limits.
    2. Determine the continuity of a function.
    3. Determine the equations of asymptotes using limits.
    4. Identify the types of discontinuities in a function.
    5. Solve business application problems involving continuity.
  1. Compute the derivative of a function.
    1. Determine the derivative of an algebraic function using the limit definition.
    2. Determine the derivative of algebraic, exponential, and logarithmic functions using the rules of differentiation, including the power, product, quotient, and chain rules.
    3. Compute higher-order derivatives.
    4. Differentiate functions implicitly.
  1. Use derivatives to solve application problems.
    1. Calculate rates of change including velocity, acceleration, marginal profit, marginal revenue, and marginal cost.
    2. Use differentiation to solve optimization problems in business and economics.
    3. Calculate relative and absolute extrema over a specified interval.
    4. Solve related-rate problems.
    5. Sketch the graph of a function using the first and second derivative to determine the intervals of increasing/decreasing, relative extrema, concavity, points of inflection, and asymptotes.
  1. Use integrals to solve business application problems.
    1. Determine the antiderivative of a function.
    2. Estimate the area under a curve using Riemann sums.
    3. Estimate distance traveled from a velocity graph.
    4. Define and compute the definite integral using the limit of a Riemann sum.
    5. Use the properties of addition and subtraction of integrals.
    6. Apply the fundamental theorem of calculus to the integration process and the total change theorem.
    7. Apply the substitution rule and symmetry in the evaluation of integrals.

Evaluation Criteria/Policies

The grade will be determined using the Delaware Tech grading system:

90-100 = A
80-89 = B
70-79 = C
0-69 = F

Students should refer to the Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.

Final Course Grade

Calculated using the following weighted average

Evaluation Measure

Percentage of final grade

5 Tests (summative) (equally weighted)


Homework (formative)


Formative (quizzes, activities)




Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. Apply quantitative reasoning and/or scientific inquiry to solve practical problems.

Students in Need of Accommodations Due to a Disability

We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.

Minimum Technology Requirements

Minimum technology requirements for all distance education type courses.

Academic Integrity


Cell phone/Electronic Device

Tuition Adjustment Policy

Delaware Technical Community College - MAT261 (2024)


What is math 261? ›

Math 261 is the first in a series of three courses covering calculus. Students will investigate limits, continuity, differentiation and some integration of algebraic and transcendental functions.

What is the grading scale for Delaware Technical Community College? ›

90 - 100 = A. 80 - 89 = B. 70 - 79 = C. 0 - 69 = F.

What is the school code for DTCC? ›

Delaware Technical Community College now has one school code for the FAFSA form 011727.

What is math 26 in college? ›

This course introduces the concepts of linear algebra. Studies include vectors; vector spaces and subspaces; matrices; systems of linear equations; dimension; determinants; eigenvalues and eigenvectors; and linear transformations and their applications.

How much is MathPapa? ›

In-App Purchases
MathPapa Premium MonthlyMonthly$9.99
MathPapa Pro UpgradeOne-Time$49.99

What is the lowest passing grade at TCC? ›

Grading System
GradePoint Value
B3 points (good)
C2 points (average)
D1 point (passing)
F0 points (failure)
1 more row

What GPA do you need to get into Delaware Technical Community college? ›

3.0 (83%) or higher high school GPA (final junior or senior year unofficial transcript. Official final HS senior transcripts will still be required in Step 2 for financial aid purposes) SAT scores in English (480+) or math (varies – discuss with academic counselor)

What is the lowest passing grade in community college? ›

You'll usually need to receive a letter grade between A and D to pass a class, often the numerical equivalent of 65 percent or higher. Receiving an F—which stands for “fail”—indicates that you did not pass the class. The cutoff to receive an F is usually 64 percent.

Is DTC and DTCC the same? ›

The Depository Trust Company (DTC) is a limited purpose trust company and subsidiary of DTCC. It provides safekeeping through electronic record-keeping of securities balances and acts as a clearinghouse to process and settle trades in corporate and municipal securities. DTCC. "DTCC 2021 Annual Report."

What is Tri C school code? ›

Tri-C's Federal School Code is 003040

You should complete your FAFSA as soon as possible.

What is ACTC school code? ›

ACTC's Federal School Code is: 001990.

What is math 261 at Ole Miss? ›

MATH 261 Unified Calculus & Analytic Geometry I.

What is math 260 in college? ›

Description. This course combines college algebra, trigonometry, and introduction to analytic-geometry.

What is math 265 in college? ›

MATH 265 - Calculus With Analytic Geometry I.

What is math 238 in college? ›

Math 238 students will study the techniques of calculus with emphasis placed on the application of these concepts to business and management related problems. The applications of derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are studied.

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