MATH 152 (01) Calculus I 
                   
                  Text:  OpenStax Calculus Volume 1. Free download at:                     
                  https://openstax.org/details/books/calculus-volume-1 
                   
                  Online Homework Access:  Housed at Edfinity website. Please follow the steps bellow to 
                  enroll.   
                  1. If you already have an Edfinity account from a previous course, please sign into it. Otherwise, 
                  go to step 2. 
                  2. Go to the following registration link: https://edfinity.com/join/FVQGQ6P4 
                  3. You will be prompted to pay $29 and enroll in our section “Math 152(01) Fall 2021 Chen, 
                  OpenStax Calculus Volume 1 v2”. 
                  4. Start working on your assignments. 
                   
                  Instructor: Yuanqian Chen 
                   
                  Office: Marcus White 112 
                   
                  Phone: 832-2858 (office), 676-9511 (home) 
                   
                  e-mail: chen@ccsu.edu 
                   
                  Office Hours:  Mondays, Wednesdays & Fridays:  8:40am–9:20am; 1:30pm–2:30pm. 
                  or by appointment. Please feel free to stop in anytime, an appointment is not necessary. 
                   
                  Prerequisite: 
                  MATH 115 and MATH 116 (formerly MATH 121), or MATH 119 (C- or higher), 
                  or Placement Exam 
                    
                  Course Description:  
                  This course introduces students to the fundamental concepts in calculus, such as the limit, the 
                  derivative and its applications and antiderivative. The emphasis of the course is on understanding 
                  and applications. We will encounter some interesting problems in the course which will expose 
                  you to rigorous proof and derivation. Students are expected to use graphing calculators in the 
                  course. 
                   
                   
                  Topics covered: 
                  Chapter 1. Functions and Graphs (review materials) 
                          1.1      Review of Functions 
                          1.2      Basic Classes of Functions 
                          1.3      Trigonometric Functions 
                          1.4      Inverse Functions 
                          1.5      Exponential and Logarithmic Functions 
                   
                  Chapter 2. Limits  
                                     2.1         A Preview of Calculus 
                                     2.2         The Limit of a Function 
                                     2.3         The Limit Laws 
                                     2.4         Continuity 
                                     2.5         The Precise Definition of a Limit 
                          
                         Chapter 3. Derivatives 
                                     3.1         Defining the Derivative 
                                     3.2         The Derivative as a Function 
                                     3.3         Differentiation Rules  
                                     3.4         Derivatives as Rates of Change 
                                     3.5         Derivatives of Trigonometric Functions 
                                     3.6         The Chain Rule  
                                     3.7         Derivatives of Inverse Functions  
                                     3.8         Implicit Differentiation 
                                     3.9         Derivatives of Exponential and Logarithmic Functions 
                          
                         Chapter 4. Applications of Derivatives 
                                     4.1         Related Rates 
                                     4.2         Linear Approximations and Differentials 
                                     4.3         Maxima and Minima 
                                     4.4         The Mean Value Theorem 
                                     4.5         Derivatives and the Shape of a Graph 
                                     4.6         Limit at Infinity and Asymptotes 
                                     4.7         Applied Optimization Problems 
                                     4.8         L’Hopital’s Rule 
                                     4.10        Antiderivatives 
                                                  
                         Chapter 5. Integration 
                                     5.1         Approximating Areas 
                                     5.2         The Definite Integral 
                                     5.3         The Fundamental Theorem of Calculus 
                                     5.4         Integration Formulas and the Net Change Theorem 
                                     5.5         Substitution Method 
                                     5.6         Integrals Involving Exponential and Logarithmic Functions 
                                     5.7         Integrals Resulting in Inverse Trigonometric Functions 
                                                  
                          
                          
                          
                          
                         Grading:                Three Tests (70 minutes, 100 points each)                                           300 
                                                 Online Assignment                                                                   100 
                                                 Final Exam (120 minutes, 150 points)                                                150 
                                                                                                                                     ------- 
                                                                                                                                     550 
                          
                                                                                                                             -
                         If your total points are:                       495--550, you will get at least A . 
                                                                                                                             -
                                                                         440--494, you will get at least B . 
                                                                                                                             -
                                                                         385--439, you will get at least C . 
                                                                                                                             -
                                                                         330--384, you will get at least D . 
                          
                         This is exactly how your grade will be calculated: 
                          
                         495-514: A-                         515-550: A 
                         440-458: B-                         459-476: B                          477-494: B+ 
                                           -                                                                       + 
                         385-403: C                          404-421: C                          422-439: C
                         330-348: D-                         349-366: D                          367-384: D+ 
                          
                          
                         The assignments are at the end of this syllabus and will be updated. Completing these 
                         assignments is the most important part of course work and is crucial to your success in this 
                         course. 
                          
                         Online Assignments will be housed in Edfinity and account for your final grade.  These 
                         assignments can be completed multiple times. The highest score achieved will count. There will 
                         be hints and practice of similar problems. If the assignment is completed by the due date, it is 
                         eligible for 100% of the credit earned. After the due date, you may complete it for 80% credit in 
                         7 days. the Edfinity homework will no longer be available for credit 7 days after the due date.  
                          
                         Test Dates： 
                         First Test: Wednesday, September 22, 
                         Second Test: Wednesday, October 20, 
                         Third Test: Wednesday, November 17.  
                         Final Exam:  Monday, December 13, 8:00 am – 10:00am 
                          
                          
                         Withdrawal Policy and Dates: 
                         August 26 – September 1: Add/Drop period. 
                         September 2 – September 15:  Students may withdraw from a course without "W". 
                         September 16 – November 17: Students may withdraw from a course without approval. A grade 
                         of "W" will be entered. 
                         After November 14, students need permission of instructor and department chairperson to 
                         withdraw from a course. 
                          
                         In the event of a weather emergency with required curtailment or cancellation of classes, listen to 
                         WTIC (1080AM) or call (860) 832-3333 for the ‘general snow message’. 
                          
                         Please contact me privately to discuss your specific needs if you believe you need course 
                         accommodations based on the impact of a disability, medical condition, or if you have 
                         emergency medical information to share.  I will need a copy of the accommodation letter from 
                         Student Disability Services in order to arrange your class accommodations.   
                                
                     In the event of a weather emergency with required curtailment or cancellation of classes, listen to 
                     WTIC (1080AM) or call (860)832-3333 for the ‘general snow message’. 
                      
                      
                      
                     Math 152 Assignment (OpenStax Calculus Volume 1) 
                      
                     Section             Page                 Exercise 
                     2.2                 154                  35, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 59, 60, 61, 62, 63, 64,  
                                                              71, 72, 73, 74, 75 
                     2.3                   176                  83, 84, 85, 86, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 102,  
                                                              103, 104, 105, 106 
                     2.4                 191                  131, 132, 133, 134, 135, 138, 139, 141, 143, 145, 147, 149, 153,  
                                                              154, 155, 159, 163, 167 
                     2.5                 206                  188, 189, 190, 191