Southern Utah University

Course Syllabus

Southern Utah University
Southern Utah University
Spring Semester 2026

Calculus I (Face-to-Face)

MATH 1210-04

Course: MATH 1210-04
Credits: 4
Term: Spring Semester 2026
Department: MATH
CRN: 11290

Course Description

Functions, limits and continuity; the derivative, differentiation techniques, and applications; graphing applications including extrema and concavity; elementary antiderivative/integration skills; the definite integral and its applications. Coverage includes applying the ideas and techniques of calculus to algebraic, trigonometric, exponential, and logarithmic functions. (Fall, Spring, Summer) [Graded (Standard 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 Accuplacer College-Level Math or ALEKS PPL - Prerequisite Test Score: 26 or 100 or 75 Registration Restriction(s): Intensive English Program majors may not enroll General Education Category: Quantitative Literacy

Required Texts

Calculus, Early Transcendentals, 9th ed., by James Stewart, Brooks/Cole, ISBN 978-0357022269. If you are going all the way through Calculus III you may want to get the full edition that also contains Chapters 12-16, ISBN 978-1337613927. The same e-text will also be available on Canvas under the Inclusive Access button. It is cheaper than buying a book (esp new), but if you have a hard-copy text you can opt out of Inclusive Access and the amount charged for the text will be refunded to your SUU account.

Learning Outcomes

 Informal and formal definition of a limit, calculating limits, continuity, vertical and horizontal asymptotes, derivative as a limit, tangent lines, derivative rules for basic functions (power function, polynomial, exponential, logarithm, trigonometric, inverse trigonometric, hyperbolic), derivative rules for combinations of functions (sum, difference, product, quotient, chain), implicit differentiation, logarithmic differentiation, related rates, linear approximation, Mean Value Theorem, using derivatives to understand the graph of a function (increasing, decreasing, concavity, maxima, minima, inflection points), L’Hôpital’s rule, optimization, antiderivatives, area under a curve, definite integral as the limit of a sum, Fundamental Theorem of Calculus, indefinite integrals, integration by substitution.
 
Furthermore, Math 1210 satisfies the Quantitative Literacy requirement for General Education. On successful completion of the General Education Quantitative Literacy requirement, students will be able to

  1. Communicate: Use correct terminology and proper notation to explain quantitative or mathematical relationships (equations, graphs, diagrams, tables, data) and to support an argument, assertion, or purpose using quantitative or mathematical evidence;
  2. Mathematization: Convert quantitative or mathematical information into appropriate mathematical representations and/or models such as equations, graphs, diagrams, or tables, including making and evaluating important assumptions as needed;
  3. Calculation: Use algebraic skills and techniques to solve problems, including the ability to identify and correct errors in calculations and understanding the role and proper use of technology in assisting with calculations;
  4. Analysis: Draw appropriate conclusions through quantitative or mathematical analysis of data or models, including understanding and evaluating important assumptions in order to recognize the limits of the analysis; and
  5. Application / Creation: Solve concrete and abstract problems across multiple disciplines.

Calculus I—Math 1210 requires students to convert mathematical information into various representations (equations, graphs) and use precise notation to explain relationships and support arguments. Students master algebraic skills and computational techniques to solve problems and apply these tools in concrete science and engineering contexts, which is the core of the application/creation outcome.

Course Requirements

Student learning will be assessed through homework Problem Sets, in-class Quizzes, Midterm Exams, and the Final exam.  

The overall grade will be calculated by the following weighted average:
12%   Problem Sets
64%   Midterm Exams
24%   Final Exam

The semester letter grade will be based on the weighted average above using the following cutoffs:
      A     92%          B-     79%          D+  67%
      A-    89%          C+    77%          D    63%
      B+   87%           C     72%          D-   60%
      B     82%           C-    70%          F   <60%  

Course Outline

Week 1: Introduction to the Tangent Line Problem
Week 2: Introduction to Limits, including the Formal Definition
Week 3: Calculating Limits, Continuity, Limits at Infinity
Week 4: Definition of the Derivative
Week 5: Derivative Rules: Power Rule, e^x, Product, Quotient
Week 6: Chain Rule, Implicit Differentiation, Derivatives of Logs and Inverse Trig Functions
Week 7: Logarithmic Differentiation, Related Rates
Week 8: Linear Approximation, Hyperbolic Functions
Week 9: Mean Value Theorem, Maxima/Minima, Increasing/Decreasing, Concavity
Week 10: L'Hopital's Rule, Curve Sketching
Week 11: Optimization, Newton's Method, Anti-derivatives
Week 12: Definition of the Definite Integral
Week 13: Fundamental Theorem of Calculus
Week 14: Integration by Substitution   

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).

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.

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.