Southern Utah University

Course Syllabus

Southern Utah University
Southern Utah University
Fall Semester 2026

Engineering Calculus (Face-to-Face)

MATH 1310-01

Course: MATH 1310-01
Credits: 5
Term: Fall Semester 2026
Department: Mathematics
CRN: 33873

Course Description

Differential and integral calculus with a focus on engineering and science applications: functions and models; parametric and polar curves; limits and derivatives; rates of change in science and engineering; related rates; derivatives and shapes of graphs; optimization; Newton's method; definite integrals, anti-differentiation and Fundamental Theorem of Calculus; techniques of integration; numerical and symbolic integration with software; arc length, area and volumes via integration. (Fall, Spring) [Graded Letter] Prerequisite(s):MATH 1050 and MATH 1060 or equivalent coursework approved by the Math Department or adequate test score within the last two (2) years - Prerequisite Min. Grade: C Prerequisite Test: ACT Math Subscore or ALEKS PPL - Prerequisite Test Score: 26 or 75 Registration Restriction(s): Intensive English Program majors may not enroll General Education Category: Quantitative Literacy

Required Texts

Calculus: Concepts and Contexts, 5th ed, by Stewart and Kokoska. Cengage. ISBN: 978-0357632499. The electronic version is available through the Inclusive Access link on Canvas. If you want a hard copy, you will need to get it somewhere other than the SUU Bookstore.

Learning Outcomes

Upon successful completion of this course, students should demonstrate proficiency in
  • Limits and continuity of functions: Existence of limits; limit laws, domain and continuity; asymptotic behavior 
  • Derivatives of functions: Rate of change of a function; secant and tangent slopes with definition of the derivative; modeling rates of change of rectangular and parametric functions; rules of differentiation for exponential and logarithmic functions, trigonometric/inverse trigonometric functions, power functions, composite functions, sums, products, and quotients of functions; implicit differentiation
  • Applications of the derivative: Linear approximations, related rates, Newton’s method, maximum and minimum values of functions, models in science and engineering, the mean value theorem
  • Integration: Area under a curve as limits of Riemann sums; definition of the definite integral; integration/ antidifferentiation and the fundamental theorem of calculus; numerical approximation of definite integrals; convergence of improper integrals; techniques of integration including substitution, integration by parts and partial fraction decomposition
  • Applications of integration: Area between rectangular, parametric and polar curves; arc length of a curve; volumes of solids of revolution
  • Series: Brief introduction to series--Sequences and series, convergence, power series, Taylor series

Course Requirements

Student learning will be assessed through regularly collected homework assignments, midterm exams, and a final exam.
                  Homework:           90 points   
                  Midterm Exams:  500 points 
                  Final Exam:         150 points (comprehensive)

A student’s letter grade will be based on the following:
                    A     92%-100%                  B-    79%-81.9%                 D+   67%-69.9%
                    A-    89%-91.9%                 C+   77%- 78.9%                D     63%-66.9%
                    B+   87%-88.9%                 C     73%- 76.9%                D-    60%-62.9%
                    B     82%-86.9%                 C-    70%- 72.9%                F       0%- 59.9%

Course Outline

Week 1: Review of families of functions (incl. algebraic, inverse functions, exponential, logarithmic, trigonometric and inverse trigonometric, piecewise, and parametric curves/functions
Week 2: Tangent and velocity problems, limit of a function, continuity, limits involving infinity
Week 3: Derivatives and rates of change, derivative as a function, derivatives of polynomial and exponential functions, product and quotient rules
Week 4: Derivatives of trig functions, chain rule, derivatives of inverse trig functions, derivatives of log functions
Week 5: Related rates, max and min values, derivatives and shapes of curves, graphing with technology and calculus, indeterminate forms and l'Hospital's rule
Week 6: Optimization problems, Newton's method, antiderivatives, areas and distances
Week 7: The definite integral and their evaluation, fundamental theorem of calculus, integration by substitution
Week 8: Integration by parts, additional techniques of integration
Week 9: Approximate integration (midpoint, trapezoidal and Simpson's rules), improper integrals
Week 10: More about areas, volumes: cross sections and disks
Week 11: Volumes: cylindrical shells, arc length (rectangular functions and parametric curves)
Week 12: Average value of a function, applications to physics and engineering: work, centers of mass, fluid pressure 
Week 13: Probability, sequences, series and convergence of series
Week 14: Integral and comparison tests for series, representation of functions as power series, Taylor series

Instructor's policies on late assignments and/or makeup work

 Assignments will be collected on a specified day or submitted via Canvas. Late homework will not be accepted without a prolonged, legitimate excuse.

In case of emergency, failure to contact me before the test closes will result in a zero. A makeup may be given as deemed appropriate by the instructor. Documentation may be required. Busy schedules, movable appointments, moves, or forgetting about or being unaware of a scheduled exam do not qualify for a makeup test. 

Attendance Policy

 Attendance is required (see the SUU Student Handbook) and will be taken frequently. Excessive absences may result in point deductions. After two unexcused absences, you will receive a formal notice outlining penalties for additional misses. At that point, you should notify me if any absence was excused. Arriving late or leaving early is disruptive and will count as an absence if roll is taken (usually within the first five minutes of class). 

Course Fees

The program fee for this 5-credit course is $6.25

ADA Statement

Students with medical, psychological, learning, or other disabilities desiring academic adjustments, accommodations, or auxiliary aids will need to contact the Disability Resource Center, located in Room 206F of the Sharwan Smith Center or by phone at (435) 865-8042. The Disability Resource Center determines eligibility for and authorizes the provision of services.

If your instructor requires attendance, you may need to seek an ADA accommodation to request an exception to this attendance policy. Please contact the Disability Resource Center to determine what, if any, ADA accommodations are reasonable and appropriate.

Academic Credit

According to the federal definition of a Carnegie credit hour: A credit hour of work is the equivalent of approximately 60 minutes of class time or independent study work. A minimum of 45 hours of work by each student is required for each unit of credit. Credit is earned only when course requirements are met. One (1) credit hour is equivalent to 15 contact hours of lecture, discussion, testing, evaluation, or seminar, as well as 30 hours of student homework. An equivalent amount of work is expected for laboratory work, internships, practica, studio, and other academic work leading to the awarding of credit hours. Credit granted for individual courses, labs, or studio classes ranges from 0.5 to 15 credit hours per semester.

Academic Freedom

SUU is operated for the common good of the greater community it serves. The common good depends upon the free search for truth and its free exposition. Academic Freedom is the right of faculty to study, discuss, investigate, teach, and publish. Academic Freedom is essential to these purposes and applies to both teaching and research.

Academic Freedom in the realm of teaching is fundamental for the protection of the rights of the faculty member and of you, the student, with respect to the free pursuit of learning and discovery. Faculty members possess the right to full freedom in the classroom in discussing their subjects. They may present any controversial material relevant to their courses and their intended learning outcomes, but they shall take care not to introduce into their teaching controversial materials which have no relation to the subject being taught or the intended learning outcomes for the course.

As such, students enrolled in any course at SUU may encounter topics, perspectives, and ideas that are unfamiliar or controversial, with the educational intent of providing a meaningful learning environment that fosters your growth and development. These parameters related to Academic Freedom are included in SUU Policy 6.6.

Academic Misconduct

Scholastic honesty is expected of all students. Dishonesty will not be tolerated and will be prosecuted to the fullest extent (see SUU Policy 6.33). You are expected to have read and understood the current SUU student conduct code (SUU Policy 11.2) regarding student responsibilities and rights, the intellectual property policy (SUU Policy 5.52), information about procedures, and what constitutes acceptable behavior.

Please Note: The use of websites or services that sell essays is a violation of these policies; likewise, the use of websites or services that provide answers to assignments, quizzes, or tests is also a violation of these policies. Regarding the use of Generative Artificial Intelligence (AI), you should check with your individual course instructor.

Emergency Management Statement

In case of an emergency, the University's Emergency Notification System (ENS) will be activated. Students are encouraged to maintain updated contact information using the link on the homepage of the mySUU portal. In addition, students are encouraged to familiarize themselves with the Emergency Response Protocols posted in each classroom. Detailed information about the University's emergency management plan can be found at https://www.suu.edu/emergency.

HEOA Compliance Statement

For a full set of Higher Education Opportunity Act (HEOA) compliance statements, please visit https://www.suu.edu/heoa. The sharing of copyrighted material through peer-to-peer (P2P) file sharing, except as provided under U.S. copyright law, is prohibited by law; additional information can be found at https://my.suu.edu/help/article/1096/heoa-compliance-plan.

You are also expected to comply with policies regarding intellectual property (SUU Policy 5.52) and copyright (SUU Policy 5.54).

Mandatory Reporting

University policy (SUU Policy 5.60) requires instructors to report disclosures received from students that indicate they have been subjected to sexual misconduct/harassment. The University defines sexual harassment consistent with Federal Regulations (34 C.F.R. Part 106, Subpart D) to include quid pro quo, hostile environment harassment, sexual assault, dating violence, domestic violence, and stalking. When students communicate this information to an instructor in-person, by email, or within writing assignments, the instructor will report that to the Title IX Coordinator to ensure students receive support from the Title IX Office. A reporting form is available at https://cm.maxient.com/reportingform.php?SouthernUtahUniv

Non-Discrimination Statement

SUU is committed to fostering an inclusive community of lifelong learners and believes our university's encompassing of different views, beliefs, and identities makes us stronger, more innovative, and better prepared for the global society.

SUU does not discriminate on the basis of race, religion, color, national origin, citizenship, sex (including sex discrimination and sexual harassment), sexual orientation, gender identity, age, ancestry, disability status, pregnancy, pregnancy-related conditions, genetic information, military status, veteran status, or other bases protected by applicable law in employment, treatment, admission, access to educational programs and activities, or other University benefits or services.

SUU strives to cultivate a campus environment that encourages freedom of expression from diverse viewpoints. We encourage all to dialogue within a spirit of respect, civility, and decency.

For additional information on non-discrimination, please see SUU Policy 5.27 and/or visit https://www.suu.edu/nondiscrimination.

Pregnancy

Students who are or become pregnant during this course may receive reasonable modifications to facilitate continued access and participation in the course. Pregnancy and related conditions are broadly defined to include pregnancy, childbirth, termination of pregnancy, lactation, related medical conditions, and recovery. To obtain reasonable modifications, please make a request to title9@suu.edu. To learn more visit: https://www.suu.edu/titleix/pregnancy.html.

Religious / Conscience Belief Accommodation

RELIGIOUS / CONSCIENCE BELIEF ACCOMMODATION: In accordance with SUU Policy 6.7 Student Belief Accommodation, students may request, in writing, that their faculty accommodate their sincerely held religious or conscience beliefs. Students should provide their faculty with sufficient advanced notice, if possible within the first five (5) business days of the semester or session, or thereafter with good cause for requesting an accommodation after the first five (5) business days.

Faculty must provide a schedule accommodation or excuse an absence, in any course, for students to observe or participate in religious holidays or an organized activity conducted under the auspices of the student’s religious tradition or religious organization.

In courses that are required for graduation or for an academic major, a faculty member may accommodate a religious or conscience belief by modifying an assignment or examination if its content conflicts with the student’s belief. Faculty may decline the accommodation if it would fundamentally alter the course requirements. If declined, the student may request review by a neutral arbiter using the Belief Accommodation Request Form: https://cm.maxient.com/reportingform.php?SouthernUtahUniv&layout_id=5

Questions go to Assistant Provost Jake Johnson at johnsonj@suu.edu.

Disclaimer Statement

Information contained in this syllabus, other than the grading, late assignments, makeup work, and attendance policies, may be subject to change with advance notice, as deemed appropriate by the instructor.