Calculus for Science, Engineering, and Mathematics

MTH 19B

Pedro Morales-Almazan MWF 1:20 PM - 2:25 PM
Kresge Acad 3105

Calculus is the theory of things that change, and so is essential for understanding a changing world. Students are expected to use calculus to compute optimal strategies in a variety of settings, as well as to apply derivatives to understand changing quantities in physics, economics and biology.

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  • Relate Riemann sums and integrals
  • Identify differentiation and integration as opposite actions
  • Apply different integration techniques
  • Express areas and volumes as integrals
  • Use Taylor polynomials to approximate functions
  • Improve time management
  • Organize critical thinking
  • Develop studying skills
  • Build connections between mathematical thinking and real-life situations
  • Structure working strategies
  • Utilize team work
  • Stregthen reading and writing skills

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COMMUNICATION

canvas

Messages and announcements will be done using Canvas. When you need to contact your instructor or TA, please use Canvas as email messages will NOT be replied. This is to make communication more efficient, so we can correctly identify your section and other important information.

ed

We will use ed for questions regarding HW, exams, lectures, etc. This tool is great for collaboration and to write math. It is difficult to type math in an email or in Canvas, so use ed for all content related questions!

office hours

If you have any questions, don't forget to go office hours.

email

For anything else, you can reach your instructor or TA using email, but please use this as the LAST method of communication.

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Our book is: Calculus Early Transcendentals 3rd ed, Jon Rogawski and Colin Adams

LSS is an additional resource that can help you with class. You are highly encouraged to attend.

We will use Canvas for lecture content and assignments. The HW will be completed through edfinity

Grade

The grade will be divided into three compnents:

  • Homework and Classwork
  • Participation and Engagement
  • Exams

These three add to more than 100% of the total grade. In this way, even if you miss some components, your grade will not get affected.

Grades will be assigned using the +/- system.

Homework and Classwork (54%)

Pre-Class (8%)

These include reading the Module notes and working on the short assignments that you will complete on Canvas. There will be a Pre-Class assignment per lecture. These will be due the day before each lecture.

We are dropping the lowest 5 preclass in order to account for any abscences or issues.

In-Class (7%)

We will have HW Quizzes during lecture time to be completed individually. The HW Quizzes will be based on problems from your HW. These will be submitted using Gradescope. You don't need an extra acount for Gradescope.

We are dropping the lowest 2 inclass HW Quizzes< in order to account for any abscences or issues.

Post-Class (12%)

Each week you will have an Online Homework assignment due Sunday at midnight. We will use the online platform edfinity, which is one of the most afordable options for our class. The subscription for it is $25 for the entire quarter.

We are dropping the lowest 2 Post-Class in order to account for any abscences or issues.

Section (12%)

Each Section day you will have different Activities and Guides to work on. These will be worked in groups and will be completed on Canvas.

We are dropping the lowest 2 section grades in order to account for any abscences or issues.

Project (20%)

You will have application projects involving the topics covered in the course. Groups for projects can be of at most 4 members.

  • 01-Project: February 23rd
  • 02-Project: March 9th

Reflection and Engagement (16%)

Reflections (6%)

These consists in Module reflections and participation in Discussions on Canvas. Once a week there will be a Discussion topic in Canvas. Participation in this topic is counted by commenting on the Topic post on Canvas.

Engagement (6%)

This includes commenting on the Math in the Media discussions in Canvas, and Instructor and TA interaction in Meeting Time.

Responsibility (4%)

This measures your responsibility, consistency, and engagement with the course. It is computed with your Pre-Class, Section, Activities, Reflections, and participation in supplemental sessions.

This is computed by the average of:

  • Assignments completed on time (proportion)
  • Assistance to supplemental sessions
  • Consistency of assignment grades

Exams (35%)

Exams will be in-person, open-note, and physical calculators are allowed. The open-note can be at most two pages long.
No makeup exams under any circumstances. Under a valid emergency, one absence could be replaced by the final.

Midterm (15%)

These exams cover the class material. The grade is computed by averaging the exams in the regular fashion.

Midterm
January 31st (Modules 1-8)

Final (15%)

The final is comprehensive.

  • Final
    Wednesday, March 19th
    12:00–3:00 PM

Prerequisite and degree relevance

The definite integral and the fundamental theorem of calculus. Areas, volumes. Integration by parts, trigonometric substitution, and partial fractions methods. Improper integrals. Sequences, series, absolute convergence and convergence tests. Power series, Taylor and Maclaurin series. Students cannot receive credit for both this course and MATH 11B, or AM 11B, or AM 15B, or ECON 11B.

Prerequisite(s): MATH 19A or MATH 20A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 of higher.

Student Code of Conduct

The UC Santa Cruz community includes students, staff, faculty, and others who have a vested interest in the University. As members of an academic community, integrity, accountability and mutual respect are vital pillars of being part of this community. The Principles of Community further illustrate the values and expectations set forth for being a part of this community.

Usage of generative AI

The use of generative AI in academic environments must be considered with care. A good rule to keep in mind that using generative AI to replace what a human could do might conflict with general rules of academic honesty. For our course, the recommendation is to avoid the usage of generative AI tools for assignments unless explicitely stated.

Learning Support Services (LSS)

Learning Support Services provides UCSC undergraduate students inclusive tutoring sessions facilitated by peers to build a strong foundation for success. In tutoring sessions, students can expect to create a community of learners.

DRC Accommodations

UC Santa Cruz is committed to creating an academic environment that supports its diverse student body. If you are a student with a disability who requires accommodations to achieve equal access in this course, please submit your Accommodation Authorization Letter from the Disability Resource Center (DRC) to me privately during my office hours or by appointment, preferably within the first two weeks of the quarter. At that time, I would also like us to discuss ways we can ensure your full participation in the course. I encourage all students who may benefit from learning more about DRC services to contact DRC by phone at 831-459-2089 or by email at drc@ucsc.edu.

Inclusivity Statement

We understand that our members represent a rich variety of backgrounds and perspectives. UCSC is committed to providing an atmosphere for learning that respects diversity. While working together to build this community we ask all members to:

FAQ

  • Is the book required for the class?

    No. The book is a good reference to clarify concepts and to practice more problems.

  • Was there a curve last quarter?

    No. We don't do curves in this class.

  • I am going to miss a day of class. What should I do?

    Check the material in Canvas.

  • Can we use calculators on the Exams?

    Yes.

  • What can I do to improve my grade?

    Study. Do Homework. Do not wait until the end of the quarter.

  • Do you drop any grades?

    See the grade description.

  • I need a C to keep my scholarship, what can I do?

    Study. Do Homework. Do not wait until the end of the quarter.

  • I added this class late and missed the first one/two/three Homeworks. Can you accept them late?

    No. We do not accept late Homework for any reason. We drop the lowest Homework scores for just such eventualities.

  • Will there be a curve?

    No.

  • What do I have to make on the final to get an A/B/C in the course?

    We use the regular grading system.

  • I sent a math question to my instructor and I didn't get a response. Why?

    Because it's impossible to write math over e-mail. Use Canvas or Ed regarding questions in the class.

  • Can we use calculators on the Homeworks?

    Yes.

  • Do you give extra credit?

    No but our grade distribution adds up to more than 100%.

  • What is going to be on the exam?

    Everything we have done in class.

  • Why you don’t reply my emails?

    Messages regarding this class must be sent through Canvas or Ed.