South Dakota School of Mines & Technology

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South Dakota School of Mines & Technology

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(4-0) 4 credits. Prerequisite: MATH 115 with a minimum grade of “C” or appropriate mathematics placement or permission of instructor. Students who are initially placed into MATH 102 or below must complete MATH 102 and MATH 120 with grades of “C” or better before enrolling in MATH 123. Students who are placed in MATH 120 should consult their advisor to determine whether their placement score was sufficiently high to allow concurrent registration in MATH 123. The study of limits, continuity, derivatives, applications of the derivative, antiderivatives, the definite and indefinite integral, and the fundamental theorem of calculus.

A student who successfully completes this course should be able to:

- Take derivatives of trigonometric and algebraic functions using the power rule, chain rule, product rule, and quotient rule.
- Use the derivative in applications such as velocity and acceleration, related rates, optimization, and curve sketching.
- Integrate algebraic and trigonometric functions using the power rule and substitution.
- Demonstrate the use of the integral in an application. Examples may include area, volume, moments, work, arc length, and surface area.
- Use a computer algebra system to implement the solution techniques that are covered in Calculus 1

This course meets the BOR mandated GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

As a result of taking courses meeting this goal, students will:

- Use mathematical symbols and mathematical structure to model and solve real world problems.
- Assessment- On a class exam, quiz, and / or homework assignment students will be asked to demonstrate the use of trigonometric functions to model a real world problem.

- Demonstrate appropriate communication skills related to mathematical terms
- Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring the derivative. This will be demonstrated on quizzes, labs, homework, and/or exams.
- Assessment- Students will Identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring the integral. This will be demonstrated on quizzes, labs, homework, and/or exams.

- Demonstrate the correct use of quantifiable measurements of real world situations
- Assessment - Students will apply their knowledge of the integral in applications such as area, volume, moments, work, arc length, and surface area. This will be demonstrated on quizzes, labs, homework, and/or exams.
- Assessment - Students will apply their knowledge of the derivative in applications such as related rates, linear approxima-tions, Newton’s Method, curve sketching, optimization, velocity, and acceleration. This will be demonstrated on quizzes, labs, homework, and/or exams.

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