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Overview

This unit is an introduction to the calculus of one variable. Topics covered include elementary functions, differentiation, basic integration techniques, and coordinate geometry in three dimensions. Applications in science and engineering are emphasized.

Unit Details and Rules

• Academic unit: Mathematics and Statistics Academic Operations
• Credit points: 6
• Prerequisites: None
• Corequisites: None
• Prohibitions: MATH1011 or MATH1901 or MATH1906 or MATH1001 or HSC Mathematics Extension 1 or HSC Mathematics Extension 2 or ENVX1001 or MATH1021 or MATH1921 or MATH1931
• Assumed knowledge: Knowledge of algebra and trigonometry equivalent to NSW Year 10
• Available to study abroad and exchange students: Yes

Teaching Staff

• Coordinator: Ayesha Sohail
• Lecturer(s): Ayesha Sohail

Assessment

• Type: Supervised exam, small test, assignment
• Description:
  • Supervised exam: Final exam testing techniques and reasoning skills (50%, 2 hours)
  • Small test: Online homework (4% each, multiple attempts)
  • Assignment: Calculations and explanations (10% each, 6-8 pages)
• Weight:
  • Supervised exam: 50%
  • Small test: 4% each (total 20%)
  • Assignment: 10% each (total 30%)
• Due:
  • Supervised exam: Formal exam period
  • Small test: Weeks 4, 6, 8, 10, 12
  • Assignment: Weeks 7, 11, 13
• Length:
  • Supervised exam: 2 hours
  • Small test: n/a
  • Assignment: 6-8 pages (as a guide)

Assessment Summary

• Assignments: Three assignments, submitted electronically as PDF files via Canvas
• Online homework: A series of online homework exercises using the online MOOC Introduction to Calculus
• Final Exam: Compulsory, must be attempted, failure to attempt will result in an AF grade

Assessment Criteria

• Result name: High distinction, distinction, credit, pass, fail
• Mark range:
  • High distinction: 85-100
  • Distinction: 75-84
  • Credit: 65-74
  • Pass: 50-64
  • Fail: 0-49
• Description:
  • High distinction: Complete or close to complete mastery of the material
  • Distinction: Excellence, but substantially less than complete mastery
  • Credit: Creditable performance, beyond routine knowledge and understanding
  • Pass: At least routine knowledge and understanding
  • Fail: Does not meet the learning outcomes of the unit to a satisfactory standard

Late Submission

• Penalty: 5% of the maximum mark for each calendar day after the due date
• After ten calendar days late, a mark of zero will be awarded

Academic Integrity

• The University expects students and staff to act ethically and honestly
• Allegations of academic integrity breaches will be treated seriously
• Similarity detection software will be used to detect potential instances of plagiarism or other forms of academic integrity breach

Use of Generative Artificial Intelligence (AI) and Automated Writing Tools

• Permitted only if approved by the unit coordinator
• Must be acknowledged in the work, either in a footnote or an acknowledgement section
• Final submitted work must be original, with any use of generative AI tools acknowledged and referenced

Learning Support

• Simple extensions: Available for up to five calendar days
• Special consideration: Available for exceptional circumstances
• Using AI responsibly: Resources available on the AI in Education Canvas site

Weekly Schedule

Learning Outcomes

• LO1: Apply mathematical logic and rigour to solving problems
• LO2: Demonstrate fluency in manipulating real numbers and solving associated algebraic equations and inequalities
• LO3: Develop fluency with lines, coordinate geometry in two dimensions, and the notion of a function
• LO4: Become conversant with elementary functions and apply them to real phenomena
• LO5: Perform operations on functions and invert functions where appropriate
• LO6: Understand the definitions of a derivative, definite and indefinite integral
• LO7: Develop fluency in rules of differentiation and use them to differentiate complicated functions
• LO8: Understand and apply the Fundamental Theorem of Calculus
• LO9: Develop some fluency with coordinate geometry in three dimensions

Graduate Qualities

• GQ1: Depth of disciplinary expertise
• GQ2: Critical thinking and problem solving
• GQ3: Oral and written communication
• GQ4: Information and digital literacy
• GQ5: Inventiveness
• GQ6: Cultural competence
• GQ7: Interdisciplinary effectiveness
• GQ8: Integrated professional, ethical, and personal identity
• GQ9: Influence

Outcome Map

Responding to Student Feedback

No changes have been made since this unit was last offered.

Additional Information

• Lectures: Face-to-face and streamed live with online access from Canvas
• Tutorials: Two tutorials per week, starting in Week 2, as shown on the personal timetable
• Tutorial sheets: Available from the MATH1111 webpage
• Ed Discussion forum: Available for discussion and questions
• Science student portal: Available for resources and support
• Mathematics and Statistics student portal: Available for resources and support

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

This unit of study outline was last modified on 16 Feb 2023.