Instructor Information

• handle routine computations, i.e., limits, derivatives, max-min problems, and calculation of definite integrals using the fundamental theorem of calculus;
• state (write) and apply basic definitions and major theorems. These include, but are not limited to, definitions of limit, continuous function, derivative, definite and indefinite integrals, the intermediate value theorem for continuous functions, the mean value theorem, and the fundamental theorem of calculus.
• supply simple proofs, e.g., some of the limit theorems, some of the rules of differentiation, and applications of the intermediate and mean value theorems.

     Learning Outcomes

•  Understand vectors and vector functions, both graphically and quantitatively, and apply them to real world situations involving velocity, forces, and work.
  
•  Construct vector and parametric equations of lines and understand vector functions and their relationship to parametric equations.
  
•  Understand the concept of a limit graphically, numerically, and algebraically, and apply the relationship between limits, continuity, and differentiability in determining where a function is continuous and/or differentiable.
  
•  Conceptually understand the precise definition of a limit involving epsilon and delta.
  
•  Define the limit definition of the derivative and calculate derivatives using the limit definition, differentiation formulas, the chain rule, and implicit differentiation, with applications to tangent line and velocity problems.
  
•  Calculate limits and derivatives of vector functions with applications to physics such as computing velocity and acceleration vectors.
  
•  Identify exponential, logarithmic, and inverse trigonometric functions, and compute limits and derivatives involving these classes of functions.
  
•  Apply the derivative to mathematically model velocity and acceleration as well as real world related rate applications, such as calculating the rate at which the distance between two moving objects is changing or the rate at which the volume of a cone being filled with water is changing.
  
•  Approximate functions and function values using the derivative and the tangent line.
• Identify and understand indeterminate forms and apply the derivative to calculate limits using L’Hospital’s Rule.
  
•  Understand and apply the Intermediate Value Theorem and the Mean Value Theorem, and be able to logically determine when these theorems can be used.
  
•  Use calculus and logic to sketch graphs of functions and analyze their properties, including where a function is increasing/decreasing and in describing the concavity of the function.
  
•  Determine the maximum/minimum values of functions, including applied optimization problems.
  
•  Compute antiderivatives and understand the concept of integration as it relates to area and Riemann sums.
  
•  Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus, and evaluate definite integrals using the Fundamental Theorem of Calculus.
  
•  Explain and/or prove various formulas or theorems used in the course.
  

Textbook/Resource Material 

• Textbook: Stewart, Calculus: Early Vectors, Cengage Learning.
  
•  Access to the online homework system WebAssign. Access to WebAssign can be purchased directly within WebAssign. For more information on the online homework, see www.math.tamu.edu/courses/eHomework    
  

Grading Policies

• Grade Breakdown

• Grading Scale

Attendance and Makeup policies

•  Excused absences

•  Makeups

Additional Course Information and Policies

• Exams

• Final Exam:

• Homework
• Online Homework will be done online in WebAssign. For important information such as how to purchase access, how to log in and take assignments, the Student Help Request Form, and other WebAssign issues, please see /courses/eHomework. I suggest you bookmark this page and visit it before you log in to WebAssign each time.
  
• Paper&Pencil Homework Aside from the online homework, there may also be take-home assignments  given for a grade.
  
• Suggested Homework is posted at /courses/math171/currenthw.html. These problems are for practice and will not be handed in; however, quiz and exam questions may be similar to suggested homework problems.

• Recitations  The Wednesday recitation time will be led by a TA who will answer questions you have and give weekly quizzes. In some situations, the reciattion time may be replaced by a lecture.
  

• Quizzes will be given for a grade weekly. Makeup quizzes will only be allowed for University-approved absences.
• Grade Complaints Any questions regarding grading/scoring of exams must be made before the exam leaves the room or no change in grade will be made. If you need more time to look at an exam and do not want to lose your right of protest, hand it back to me at the end of class, and arrange to come to office hours. For other assignments, if you believe an error has been made in grading, you have until the next recitation period after the quiz/homework has been handed back to let your TA know. Otherwise you must accept the grade you received.

•  Electronic Device Policy  Please refrain from using electronic devices during class. Texting and playing on your phone or computer distracts not only you, but also those around you. If you would like to use a laptop or iPad during class to take notes with, please ask for permission prior to doing so.
• Class Announcements, E-Mail Policy and Communication Class announcements will be posted on my homepage. It is your responsibility to check them daily. Some important course announcements might be sent to your TAMU.EDU e-mail account or posted on eCampus. It is your responsibility to check your account and get familiar with the announcements.  E-mail (shatalov AT math.tamu.edu) is the preferred way to leave private messages for me. I usually respond within 24 hours.  Use your TAMU.EDU e-mail account to send me an e-mail.

•  SOURCES OF HELP
• Instructor If you have a question, do not hesitate to ask before, after, or during a class.  If you are not understanding the concepts, please ask for help. Don't wait until the day before an exam to try and grasp the material.I encourage you to attend my office hours to get individual help. You do not need an appointment to come to regular office hours. If your schedule does not permit you to come to the announced office hours, send me an e-mail with your schedule and we will make an appointment to meet at some other time.
  
• Class Notes An outline of notes will be posted before each class day. It will be beneficial to print these out and bring them with you to class. The completed (filled) notes will be psted as they become available, You should review your notes after class, and make sure you get any questions you have about the material answered before the next class day.
• Help Sessions  The Math department offers help sessions for math 171. For more information see  /courses/helpsessions.html
• Week in Review   Each week, a faculty member will conduct a Week in Review for Math 151 (a sister sequence, which is taken by engineering majors), time and place TBA. Students are highly encouraged to take full advantage of this extra help. This is one resource for you to obtain extra practice in order to master the material.

• Week 1: 1.1 (Vectors), 1.2 (The Dot Product)
• Week 2: 1.3 (Vector Functions), 2.2 (Limit of a Function), 2.4 (Precise Definition of a Limit)
• Week 3: 2.3 (Calculating Limits Using Limit Laws), 2.6 (Limits at Infinity; Horizontal Asymptotes), 2.5 (Continuity)
  
• Week 4: 2.7 (Tangents, Velocities, and Other Rates of Change), 3.1 (Derivatives), 3.2 (Differentiation Formulas)
  
• Week 5: 3.4 (Derivatives of Trigonometric Functions), 3.5 (The Chain Rule), Exam 1
  
• Week 6: 3.6 (Implicit Differentiation), 3.8 (Higher Derivatives), 3.7 (Derivatives of Vector Functions)
• Week 7: 3.9 (Slopes and Tangents of Parametric Curves), 3.10 (Related Rates), 3.11 (Differentials; Linear Approximations),
  
• Week 8:  4.1 (Exponential Functions and Their Derivatives), 4.2 (Inverse Functions), 4.3 (Logarithmic Functions),  4.4 (Derivatives of Logarithmic Functions).
  
• Week 9: 4.6 (Inverse Trigonometric Functions), 4.8 (Indeterminate Forms and L'Hospital Rule)
• Week 10:  5.2 (Maximum and Minimum Values), 5.3 (Derivatives and Shapes of Curves), Exam 2
  
• Week 11:  5.5 (Applied Maximum and Minimum Problems), 5.7 (Antiderivatives)
• Week 12:  6.1 (Sigma Notation),  6.2 (Area), 6.3 (The Definite Integral).
• Weeks 13:  6.4 (The Fundamental Theorem of Calculus), 6.5 (Integration by Substitution)
• Week 14: Exam 3, Review