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This is an archived copy of the 2020-2021 catalog. To access the most recent version of the catalog, please visit https://catalog.nmc.edu.

MTH 141 Calculus I

MTH 141 -  Calculus I  

Credit Hours: 5, Contact Hours: 5

Division: Science Math

This is the first course in a traditional calculus sequence, emphasizing the development of the mathematical thought process. The topics covered include limits (definitions and limit proofs), continuity, derivatives of algebraic and trigonometric functions, applications of the derivative, the indefinite and definite integral, the fundamental theorem of calculus, and applications of integration. Group 1 course. Quantitative Reasoning.

Required Prerequisites: A grade of 2.0 or better in MTH 122 or higher (excluding MTH 131) or appropriate placement.

Recommended Prerequisites: Placement into ENG 111

MTH 141 - Calculus I

https://catalog.nmc.edu/course-outlines/mth-141/

Course Description This is the first course in a traditional calculus sequence, emphasizing the development of the mathematical thought process. The topics covered include limits (definitions and limit proofs), continuity, derivatives of algebraic and trigonometric functions, applications of the derivative, the indefinite and definite integral, the fundamental theorem of calculus, and applications of integration. Group 1 course. Credit Hours 5 Contact Hours 5 Lecture Hours 5 Required Prerequisites A grade of 2.0 or better in MTH 122 or higher (excluding MTH 131 ) or appropriate placement. Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Show proper usage of function notation, The Mean Value Theorem, The Intermediate Value Theorem, and The Fundamental Theorem of Calculus. Determine the proper usage of mathematical terminology and symbolization associated with: limits, continuity, differentiation and integration involving algebraic and trigonometric functions. Use procedures to: evaluate and verify limits, determine continuity and differentiability of functions, differentiate products, quotients and compositions of functions, evaluate definite and indefinite integrals, differentiate implicitly, and relate graphs to functions and their derivatives. Application: Solve optimization and related rate problems. Use the integral to find areas, volumes and other applications. Discern between the usage of differentiation and integration. Integration: Apply mathematical modeling to solve real world problems. Interpret the solution in the context of the problem and justify the results. Human Dimension: Strive to improve areas of mathematical weakness based on feedback. Collaborate with peers during group work. Caring - Civic Learning: Recognize the impact mathematics plays in civic situations such as politics, education and income. Learning How to Learn: Relate mathematical skills to real-life situations.

MTH 142 - Calculus II

https://catalog.nmc.edu/course-outlines/mth-142/

Course Description This course is a continuation of Calculus I. The topics include differentiation and integration involving exponential, logarithmic, and inverse trigonometric functions. There is an introduction of various integration methods. L'Hospital's Rule, improper integrals, parametric equations, polar coordinates, and infinite sequences and series are also investigated. Group 1 course. Credit Hours 5 Contact Hours 5 Lecture Hours 5 Required Prerequisites A grade of 2.0 or better in MTH 141 or equivalent Recommended Prerequisites or Skills Competencies Placement into ENG 111 General Education Outcomes supported by this course Quantitative Reasoning Course Learning Outcomes Knowledge: Show proper usage of function notation, The Fundamental Theorem of Calculus, L'Hospital's Rule, Polar coordinates, integration techniques, Shell Method, Washer Method and tests for convergence. Determine the proper usage of mathematical terminology and symbolization associated with: differentiation and integration of algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions, limits, sequences, series, polar coordinates, parametrization. Use procedures to: evaluate limits using L'Hospital's Rule, evaluate definite, indefinite and improper integrals, define relations in parametric form, convert between polar and rectangular coordinates, and represent functions as infinite series. Application: Use integrals to find volumes, centroids, arc length, fluid force, and surface area. Apply convergence tests to determine behavior of infinite series. Apply calculus concepts to infinite series representations of functions. Integration: Apply mathematical modeling to solve real world problems. Interpret the solution in the context of the problem and justify the results. Human Dimension: Strive to improve areas of mathematical weakness based on feedback. Collaborate with peers during group work. Caring - Civic Learning: Recognize the impact mathematics plays in civic situations such as politics, education and income. Learning How to Learn: Relate mathematical skills to real-life situations.

EGY 141 - Solar Photovoltaic Tech I

https://catalog.nmc.edu/course-outlines/egy-141/

Course Description Through structured lecture and practical skill building, students will become familiar with Solar Photovoltaic applications, solar radiation, basics of a site survey, system components, system sizing, and preparation of a solar installation. Group 2 course. Credit Hours 3 Contact Hours 3 Lecture Hours 3 Required Prerequisites ELE 105 Recommended Prerequisites or Skills Competencies MTH 23 or placement into MTH 111 , ENG 111 Course Learning Outcomes Knowledge: Identify basic components that make up a solar PV system. Describe types of configurations for a solar PV system. Show how to conduct a site survey. Tabulate the math involved in conducting an accurate system sizing. Application: Find databases of equipment and components. Find current events pertaining to specific subjects. Design the placement of a solar PV system. Integration: Develop a proposal for a customer integrating areas of planning, budgeting, and marketing. Human Dimension: Illustrate the functionality of the product. Communicate with customers about energy savings and return on investment of a solar PV system. Caring - Civic Learning: Assess the impact of fossil fuel development and its future. Learning How to Learn: Reflect on weekly research done on topics of current events directly related to the reading.

Addendum

https://catalog.nmc.edu/addendum/

...Design 3 MTH 141 Calculus I 5 MTH 142 Calculus II 5 MTH 241 Calculus...

Maritime - Deck Officer, Bachelor of Science

https://catalog.nmc.edu/programs-az/maritime/maritime-deck-officer/

...MTH 141 Calculus I or higher, or completion of MTH 121 College Algebra and MTH...

Maritime - Engineering Officer, Bachelor of Science

https://catalog.nmc.edu/programs-az/maritime/maritime-engineering-officer/

...MTH 141 Calculus I or higher, or completion of MTH 121 College Algebra and MTH...

Maritime - Power Systems, Bachelor of Science

https://catalog.nmc.edu/programs-az/maritime/maritime-power-systems/

...MTH 141 Calculus I or higher, or completion of MTH 121 College Algebra and MTH...

EGR 201 - Statics

https://catalog.nmc.edu/course-outlines/egr-201/

...3 Required Prerequisites MTH 141 Recommended Prerequisites or Skills Competencies ENG 111 , MTH 142 General...

Surveying, Associate in Applied Science Degree

https://catalog.nmc.edu/programs-az/technical/surveying/

...1 Completion of MTH 122 Trigonometry , or place higher into MTH 141 Calculus I Note...

Welding Technology, Associate in Applied Science Degree

https://catalog.nmc.edu/programs-az/technical/welding-technology/

...1 Placement into MTH 141 Calculus I or higher, or completion of MTH 122 Trigonometry...

EGR 221 - Material Science

https://catalog.nmc.edu/course-outlines/egr-221/

...Hours 3 Lecture Hours 3 Required Prerequisites MTH 141 , ENG 111 ; CHM 150 may be...

EGR 232 - Introductory Thermodynamics

https://catalog.nmc.edu/course-outlines/egr-232/

...Hours 3 Lecture Hours 3 Required Prerequisites MTH 141 , PHY 221 , PHY 221L , PHY 221R...

PHY 221 - Problems & Princ.of Physics I

https://catalog.nmc.edu/course-outlines/phy-221/

...Hours 5 Lecture Hours 3 Required Prerequisites MTH 141 , may be taken concurrently Corequisites PHY...

PHY 222 - Prob. & Princ. of Physics II

https://catalog.nmc.edu/course-outlines/phy-222/

...Prerequisites PHY 221 , PHY 221L , PHY 221R , MTH 141 Corequisites PHY 222L , PHY 222R Recommended...