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Math 165 – Calculus I
Course coordinator .
Calculus Coordinator [email protected]
Catalog description
Differential calculus, applications of the derivative, introduction to integral calculus. Prerequisite : Satisfactory performance on placement assessment, 2 years of high school algebra, 1 year of geometry, 1 semester of trigonometry; or minimum of C- in MATH 143
Credit hours : 4
Course description
Basic Calculus provides an introduction to differential and integral calculus. Applications of differentiation, including optimization, are explored.
The etext version of Pearson’s textbook Thomas’ Calculus, Early Transcendentals , 14th Edition, by George Thomas, Jr., Maurice D. Weir and Joel Hass accompanies a purchased access code. The access code provides access to the online homework package. Students should access the online homework (MyMathLab) only through Canvas.
Basics of differentiation (Sections 2.1, 2.2, 2.4-2.6, 3.1 – 3.6) includes discussion of average rates of change, limits, the definition of derivative, and differentiation rules.
Advanced differentiation (Sections 3.7 – 3.11, 4.1 – 4.4, 4.6) includes discussion of implicit differentiation, logarithmic differentiation, derivatives of inverse functions, related rates, linearization, optimization, and curve sketching.
Basics of integration (Sections 4.5, 4.7, 4.8, 5.1 – 5.6, 7.1 –
7.3) includes antiderivatives, finite sums, definite integrals, the Fundamental Theorem of Calculus, separable differential equations, and hyperbolic functions.
Objectives
After completing Math 165, students should be able to:
- Given a function and an interval or a point, find average rate of change, calculate instantaneous rate of change, and relate both to the graph of the function.
- Demonstrate understanding of limits, including how to evaluate limits, one-sided limits, limits involving $\frac{\sin\theta}{\theta}$ as $\theta\to0$, and limits involving infinity. Use limits to identify asymptotes. The demonstration of understanding should occur without applying L’Hopital’s Rule.
- Apply the definition of continuity. Demonstrate how to identify continuous functions. Use limits to identify and classify discontinuities.
- Give the limit definition of derivative at a point. Use the limit definition of derivative to calculate the derivative of relatively simple functions. Give units when needed/requested.
- Compute higher order derivatives and include units. Recognize and use the various symbols for derivatives.
- Find tangent lines to functions and interpret a tangent line geometrically as a local approximation to the function.
- Know and apply the rules for differentiation (power, exponential, trigonometric, sum, product, quotient, chain).
- Relate differentiation to rates of change, including position, velocity, and acceleration.
- Apply the chain rule to differentiate implicitly-defined functions and related rates problems.
- Differentiate inverse functions, including logarithmic functions and inverse trigonometric functions.
- Apply logarithmic differentiation to find derivatives.
- Apply linearization of a function at a point to calculate approximations; use differentials to estimate errors.
- Identify the candidates for the extreme values of a function and give the extreme values of a function.
- Use the first and second derivatives of a function to identify where a function is increasing or decreasing, concave up or concave down. Apply the first and second derivative tests to classify critical points.
- Use the tools of calculus and algebra to sketch, by hand, good graphs of functions including intercepts, critical points, inflection points, and asymptotes.
- Solve applied optimization problems.
- Use L’Hopital’s Rule to evaluate limits involving indeterminate forms.
- Apply Newton’s method to approximate solutions to equations.
- Relate the mean value theorem to average and instantaneous rates of change of a function on a closed interval.
- Evaluate antiderivatives of elementary functions, and solve initial value problems.
- Use Riemann sums to approximate the area bounded by curves. Given a velocity function, use a Riemann sum to approximate distance and net distance traveled.
- Evaluate definite integrals and use definite integrals to calculate the area bounded by curves.
- Calculate the average value of a function over a closed interval.
- Apply Part I of the Fundamental Theorem of Calculus to differentiate an integral function; apply Part II of the Fundamental Theorem of Calculus to evaluate definite integrals.
- Apply the substitution method to evaluate integrals, both definite and indefinite. Make appropriate changes to the limits of integration when solving definite integrals.
- Set up and solve simple separable differential equations, with or without initial conditions.
- Apply the definition of hyperbolic functions with algebra and calculus to derive properties and establish identities involving the hyperbolic functions.
Assessments
Three midterm night exams and a cumulative final exam are given. Times for the night exams may be found at the night exam schedule at https://www.registrar.iastate.edu/students/exams .
Weekly quizzes are administered in recitation session.
Three online (MyMathLab) homework assignments are due most weeks. The online homework package with a purchased access code includes the electronic textbook.
Many materials, including videos, practice exams, and quizzes, are available at calc1.org .
Math 165 help
Math 165 students may access the help hour times and location by following the link established in the Canvas course pages, or by referencing the image below.
Free expression statement
Iowa State University supports and upholds the First Amendment protection of freedom of speech and the principle of academic freedom in order to foster a learning environment where open inquiry and the vigorous debate of a diversity of ideas are encouraged. Students will not be penalized for the content or viewpoints of their speech as long as student expression in a class context is germane to the subject matter of the class and conveyed in an appropriate manner.
Students with disabilities
Iowa State University is committed to assuring that all educational activities are free from discrimination and harassment based on disability status. Students requesting accommodations for a documented disability are required to work directly with staff in Student Accessibility Services (SAS) to establish eligibility and learn about related processes before accommodations will be identified. After eligibility is established, SAS staff will create and issue a Notification Letter for each course listing approved reasonable accommodations. This document will be made available to the student and instructor either electronically or in hard-copy every semester. Students and instructors are encouraged to review contents of the Notification Letters as early in the semester as possible to identify a specific, timely plan to deliver/receive the indicated accommodations. Reasonable accommodations are not retroactive in nature and are not intended to be an unfair advantage. Additional information or assistance is available online at www.sas.dso.iastate.edu, by contacting SAS staff by email at [email protected], or by calling 515-294-7220. Student Accessibility Services is a unit in the Dean of Students Office located at 1076 Student Services Building.
More information about disability resources in the Mathematics Department can be found at https://iastate.app.box.com/s/c17d3ljul83lujr2j1mdeqoqcdqiva1t .
Cartoon Drawing for Digital Animation
Thursday, july 23, 2020, 7/23 final day of class, wednesday, july 22, 2020, 7/22 homework.
- Character turns
- Thumbnail animatic
- Final animatic
Happening this weekend!
Tuesday, July 21, 2020
7/21 homework, monday, july 20, 2020, 7/20 homework.
Thursday, July 16, 2020
7/16 homework, wednesday, july 15, 2020, 7/15 homework.
IMAGES
VIDEO
COMMENTS
MTH 165 Study Hall. This MTH165 study hall is exclusively for MTH 165 students and staffed by highly knowledgable MTH 165 TAs. You are strongly encouraged to attend; homework problems will be discussed and if you have any questions related to MTH 165 this is a great resource for help.
MATH 165. Exams; Office Hours, etc. Homework; Schedule; Catalog; Math Courses Home; Spring 2024; MATH 165; Homework; Homework. HW1(updated version) due Friday, February 2 at 11:59 pm on gradescope. HW2 due Friday, February 9 at 11:59 pm on gradescope. HW3 due Friday, February 16 at 11:59 pm on gradescope. HW4 due Friday, February 23 at 11:59 pm ...
MTH 165 Written Homework 1 Due Friday, January 26, 2024 at 11:59PM on gradescope 1. Consider the di erential equation dy dx = y2 x2 + 1 1. Find the unique equilibrium solution for this di erential equation. 2. Verify that the hypothesis of the existence and uniqueness theorem (Theorem 1.3.2 of the book) are satis ed. 3.
Terms in this set (55) If you can draw the function without lifting your pencil. No holes or jumps. Let f (x) be a function defined on a interval I. We say f (x) assumes a maximum value at c=I. If f (x)<f (c) for every x in I. Study with Quizlet and memorize flashcards containing terms like Average speed, Average rate of change, Secant and more.
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Other. Date. Rating. year. Ratings. Studying MATH 165 Calculus I at Iowa State University? On Studocu you will find 46 lecture notes, assignments, coursework and much more for MATH 165 Iowa State.
Homework 1 MATH 165 - Fall 2020 Tufts University, Department of Mathematics Due: September 17, 2020 1. Book Questions Grinstead and Snell: Section 1.2, #14, #18, #20, #23, #28 2. Supplemental Question (Coupon Collector's Problem, Part 1) Let m 2 Z +, and let X
Homework 6 MATH 165 - Fall 2020 Tufts University, Department of Mathematics Due: October 22, 2020 1. Book Questions Grinstead and Snell: Section 6.1 #6, #7 2. Supplemental Question (Measures of Central Tendency as Minimizers) Let Xbe a random variable with discrete state space . Suppose it has expected value .
After completing Math 165, students should be able to: Given a function and an interval or a point, find average rate of change, calculate instantaneous rate of change, and relate both to the graph of the function. Demonstrate understanding of limits, including how to evaluate limits, one-sided limits, limits involving $\frac {\sin\theta ...
Math 165 is a calculus course intended for those studying business, economics, or other related business majors. ... Each textbook section has an accompanying homework set to help the student better understand the material. Credit Awarded. 5 hours (some exceptions noted below) Prior credit for MATH 170 or MATH 180 will be lost with subsequent ...
Math 165 - Precalculus (formerly MA 180) Course Inforamtion. Syllabus (PDF, ) ... Homework - 7th Edition; Homework - 4th Edition (PDF, ) Homework - 5th Edition (PDF, ) Sections. CALCULUS - When you complete your Precalculus class you can read ahead some Calculus topics NOTE - Chapter 1 in the Calculus book covers PRECALCULUS topics - Many ...
MA 165 HOMEWORK ASSIGNMENTS - NEW (6TH) EDITION OF THE BOOK. In order to succeed in the class you need to read the book and do problems on a daily basis. Spend at least two hours per day in your math homework. Some homework questions will be answered at the beginning of each class, but I strongly recommend that you go with your questions to ...
Homework 2 Solution. MATH 165 Business Calculus Instructor: Cabrera Homework 2 Due Fri, June 17 Section 1.2 25. Sketch the graph of f (x) = x 1 if x 0 and include all x and y intercepts. x + 1 if x > 0 Solution: The y intercept is found by plugging x = 0 into the function.
Written Homework #1 - Section 1. Download and answer each question. Show all your work clearly below the problem with clear label. (Write your work for a reader who has never taken any math or statistics class). Use complete sentences to answer each question. Give exact simplified numerical answer.
Math 165-70-WH #6-Sec - Lecture notes 3.2; Math 165-70-WH #6-Sec - Lecture notes 3.2; Math 165-70-WH #5-Sec - Lecture notes 1.7; ... You will receive zero, if you do not follow the direction. It is submitted on HFC Online linked to Written Homework #2 before 4:30 p. on Wednesday, September 9, 2020 as pdf file. Do not email. Emailed responses ...
Prerequisites: CMS/ACM/EE 122, ACM/EE/IDS 116, CS 156 a, ACM/CS/IDS 157 or instructor's permission. The course assumes students are comfortable with analysis, probability, statistics, and basic programming. This course will cover core concepts in machine learning and statistical inference. The ML concepts covered are spectral methods (matrices ...
1. the species that the antibiotic is legally intended for use in: ex, Age/class/ etc. 2. Dosage: may vary depending on pathogen or length of treatment. 3. Route of administration: may vary usually SubQ or IM. 4. Withdrawal times: - milk/meat. ASCI-165 Exam 3 Review. 1.
CAD 165. Northern Virginia Community College. 1 view. Elevation at the bottom of the deepest excavation on the lake house. Measuring 1,519 feet (463 meters) wide and 790 feet (240 meters) deep at its deepest point, the size is daunting, but even more impressive is the time at which it was dug.
This video from AnalystZone walks you through the concept, principles and dos' and don'ts about using MoSCoW technique. A popular business/systems analysis t...
165: 1. Follow the directions on the blog as you create a cartoon character of yourself as described in class, go to the tab labeled "Character Page" ... 165: You have no regular homework tonight this is your night to get caught up on anything you do not have finished, tomorrow we begin the final project. 166:
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Elektrostal is a city in Moscow Oblast, Russia, located 58 kilometers east of Moscow. Elektrostal has about 158,000 residents. Mapcarta, the open map.
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