Southern Utah University

Course Syllabus

Southern Utah University
Southern Utah University
Fall Semester 2025

Advanced Calculus I (Face-to-Face)

MATH 4400-01

Course: MATH 4400-01
Credits: 3
Term: Fall Semester 2025
Department: MATH
CRN: 31678

Course Description

The first of a two-semester sequence. The general emphasis will be a careful study of functions of one real variable. Particular topics explored will include sequences and convergence, limits, theorems of Heine-Borel and Bolzano-Weierstrass, continuity, differentiation, integration, power series, and uniform convergence. (Fall) [Graded (Standard Letter)] Prerequisite(s): MATH 2210 and MATH 3120 - Prerequisite Min. Grade: C Registration Restriction(s): None

Required Texts

Working Analysis by Jeffery Cooper. ISBN: 0-12-187604-7

Learning Outcomes

Students should improve in the following university Essential Learning Outcomes: Quantitative Literacy, Problem Solving, and Communication. Additionally, students should improve in the following course-specific content areas: understanding of real number axioms and real functions; sequences of real numbers; continuity of functions; derivatives and multiple derivatives of functions; Riemann integral in one variable; real series.

Course Requirements

Student learning will be assessed through regularly collected homework assignments, three midterm exams, and a final exam.
       Homework:100 points (10 points each, the lowest homework score will be dropped)
       Midterm Exams:300 points 
       Final Exam:100 points (cumulative)
A student’s letter grade will be based on the following:
                    A     93%-100%,                           B-    80%-82%                 D+  67%-69%
                    A-    90%-92%,                             C+   77%- 79%                 D   63%-66%
                    B+   87%-89%,                             C     73%- 76%                 D-  60%-62%
                    B     83%-86%,                             C-    70%- 72%                 F    0%- 59%

Course Outline

Week 1: Ordered Fields, The Fundamental Theorem of Arithmetic
Week 2: Least Upper Bound, Greatest Lower Bound, Archimedean Property
Week 3: Well-Ordering Principle and Principle of Mathematical Induction
Week 4: Using Inequalities
Week 5: Limits of Sequences, Squeeze Theorem, Criteria for Convergence
Week 6: Bolzano-Weierstrass Theorem, Cauchy Sequences
Week 7: Limits of Functions, Continuous Functions, Uniformly Continuous
Week 8: Mean Value Theorem, Cauchy Mean Value Theorem, and L'Hopital's Rule
Week 9: Lipschitz Continuous, Fixed-Point Theorem
Week 10: Upper Darboux Sum, Lower Darboux Sum, and Integrability Criterion
Week 11: The Fundamental Theorem of Calculus and Further Properties of the Integral
Week 12: Improper Integrals
Week 13: Infinite series, Convergence Tests
Week 14: Sequence of Functions, Pointwise Convergence, and Uniform Convergence

 

 

 

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

Timely submission of student work is necessary for academic success, and all students are required to submit their assignments before the listed due date. Late unexcused homework will not be accepted. There will be no make–up exams. Unless a valid excuse is presented in advance except in extreme circumstances, a missed exam will receive a score of 0. 

Attendance Policy

Students are expected to attend all class meetings. Lecture notes will be posted on Canvas before each class period. Students who miss course meetings can download course materials from Canvas.

Course Fees

$3.75

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.