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About Me


Originally from the culturally vibrant land of Pakistan.

I pursued my Master's degree in Applied Mathematics at Queen's University in Kingston.

Building upon this foundation, I decided to venture further into the world of Applied Mathematics, undertaking a doctoral journey at the University of Victoria.

My PhD thesis was based on a numerical study of the comparison between convectively forced hydrostatic and non-hydrostatic mesoscale processes.

Click on the link to about the thesis.

Outside Academics...

Hailing from a Cricket-loving nation, I have an innate passion for the sport. Whether cheering on my favorite team or engaging in a friendly game, Cricket holds a special place in my heart.

With the majority of my time dedicated to family, you'll often find me in kids' parks or exploring the amazing landscapes of Victoria. From leisurely strolls to adventurous hikes, I cherish every moment spent exploring nature's wonders with my children.

Fascinated by the mysteries of space, I enjoy reading about the vast expanse beyond our planet. Whether pondering the mysteries of other planets or marveling at the beauty of distant galaxies, the cosmos never fails to ignite my imagination.

University of Victoria...

University of Victoria boasts breathtaking beauty at every turn. With its lush, tree-lined pathways, vibrant gardens, and stunning ocean views, the campus serves as an idyllic setting for academic pursuits. From the majestic architecture of its historic buildings to the modern facilities seamlessly integrated into the natural landscape, every corner of the University of Victoria exudes charm and tranquility. Surrounded by the rugged beauty of the Pacific Northwest, students and visitors alike find inspiration in the serene surroundings, enriching the educational experience.

Click on the link to about UVic.



Teaching mathematics has always been my passion, driven by a deep-seated belief in the power of education to transform lives. I find pleasure on the challenge of demystifying Mathematical ideas and instilling confidence in my learners.

At the University level, I have had the privilege of delivering (mostly) in-person lectures to diverse groups of students. These experiences have taught me the importance of adapting my teaching style to accommodate varying learning paces and preferences. Whether lecturing on calculus, linear algebra, or Mathematical modeling, I’ve always enjoyed engaging students through discussions, real-world applications, and visual aids.

Teaching learners with weaker Mathematical backgrounds or those returning to Mathematics after a hiatus requires patience and tailored approaches. I find great fulfillment in breaking down Mathematical concepts into digestible chunks, providing opportunities for practice and reinforcement.

Embracing the digital age, I have embraced online teaching methods to create dynamic and interactive learning experiences. Through the implementation of flipped classroom models, I invert traditional teaching paradigms, allowing students to engage with course materials prior to class through videos, interactive simulations, and online exercises. During live sessions, the focus shifts to collaborative problem-solving, concept clarification, and in-depth discussions.

This blended approach not only accommodates diverse learning styles but also promotes active learning and deeper conceptual understanding in an online environment.

Teaching at University of Victoria...

I've had the pleasure of teaching a ange of courses at the University of Victoria, spanning from first-year to third-year levels, mostly with an enrollment in the range 100-200 students. These include:

Math 346 [Intro. to PDEs] — Math 342 [Interm. ODEs] — Math 100/109, 101, 200, 204 [Calculus I, II, III & IV] — Math 211 [Linear Alegra] — Math 202 [Interm. Calc. for CSC & EOS] — Math 151 [Discrete Math] — Math 120 [Precalculus] — Math 102 [Calc. for Students in the Social & Bio. Sciences].

Teaching at Camosun College...

Teaching at Camosun College holds a special place in my career as I find immense joy in guiding students through foundational Mathematics courses, especially those who return to education after a break or require additional support due to a weaker background in Math. These course are taught with enrollment of 20-30 students. These include:

Math 252 [Intro. to ODEs] — Math 100, 101 [Calculus I & II] — Math 107 [Applied Precalculus] — Math 072/073 [Advance Mathematics I & II] — Math 075 [College Preparatory - Applications of Mathematics] — Math 077, 097 [College Preparatory - Mathematics 1 & 2].

Teaching at Vancouver Island University...

At Vancouver Island Univeristy, the digital world becomes are classroom. Through innovative digital platforms and collaborative tools, I cultivate a virtual classroom where knowledge knows no limits. These courses include:

Math 111 [Introductory Finite Math I] — Math 121, 122 [Calculus I & II] — Math 151, 152 [Introductory College Algebra I & II] — Math132 [Math. for Elementary Teacher Education].

Queen's University, Kingston...

Queen's University in Kingston is a picturesque blend of historic elegance and modern charm. Nestled along the shores of Lake Ontario, the campus boasts stunning limestone buildings, set amidst lush greenery and vibrant gardens. From the majestic Grant Hall with its iconic clock tower to the tranquil pathways of the Agnes Etherington Art Centre, every corner of the campus exudes a timeless beauty that captivates visitors. With its serene atmosphere and architectural splendor, Queen's University campus in Kingston is truly a sight to behold, inviting students and visitors to immerse themselves in its rich history and natural allure.

Click on the link to about Queen's.


Research Interests...

I've always had this fascination with how math can be applied to real-world problems. It's like a superpower, you know? You take these abstract concepts and equations, and suddenly you're solving complex problems in engineering, physics, finance, you name it. What gets me really pumped is when I see how mathematical models can predict real-world phenomena or optimize processes to make things more efficient.

Whether it's designing algorithms for data analysis or modeling the spread of diseases, there's this thrill in knowing that the math I'm working on can have a tangible impact on the world around us. Plus, the field is always evolving, with new techniques and technologies constantly pushing the boundaries of what's possible. So yeah, count me in for anything that involves crunching numbers to make a difference!

This means I have a love for Differential Equations. I find pleasure in finding analytic solutions, solving numerically or using the tools of analysis for making estimates on Differential Equations. In the world of Mathematics, these equations are continuously challenging and captivating the curious minds that dare to explore their depths. There's just something incredibly satisfying about capturing the dynamics of systems through these equations.

Some Publications...
  • Awais, M. and Ibrahim, S., Nonlinear instability for the Boussinesq equations with diabatic forcing, Nonlinear Analysis, Volume 166, (2018), 1-18.
  • M. Awais, S. Ibrahim and B. Khouider, A comparison between hydrostatic and nonhydrostatic mesoscale processes experiencing a thermal forcing, Theoretical and Computational Fluid Dynamics (In Progress).
  • M. Awais, Applications of the Numerical Inversion of the Laplace Transform to unsteady problems of the third grade fluid, Applied Mathematics and Computation, 250, (2015), 228-234.
  • M. Ali and M. Awais, Laplace Transform Method for Unsteady Thin Film Flow of a Second Grade Fluid through a Porous Medium, Journal of Modern Physics, 5, (2014), 103-106.
  • S. Nadeem and M. Awais, Thin Film Flow of a Non-Newtonian Fluid Down a Vertical Cylinder Through a Porous Medium, Journal of Porous Media, 13(11), (2010), 973-980.
  • M. Sajid, M. Awais, S. Nadeem and T. Hayat, The influence of a slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method, Computers and Mathematics with Applications, 56(8), (2008), 2019-26.
  • S. Nadeem and M. Awais, Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity. Phys. Lett. A, 372(30), (2008), 4965-4972.

Camosun College...

Camosun College, located in Victoria, British Columbia, is a vibrant educational institution renowned for its commitment to excellence in teaching and learning. With two campuses nestled in the heart of the picturesque city of Victoria, Camosun offers a diverse range of programs, including trades, business, health sciences, and arts.

Click on the link to about the College.


University of Victoria
3800 Finnerty Rd, Victoria
BC, Canada, V8W 2Y2

Department of Mathematics and Statistics
University of Victoria/Camosun College
Office: DTB A540 [UVic]

Useful Links...

and are two amazing oline free graphing tools. These can help you visualize 2D and 3D graphs through still images and animations.

is a graphing and computational tool.

is a useful Math tutoring resource, for all levels.

Vancouver Island University...

Vancouver Island University is a renowned public university located on Vancouver Island in British Columbia. VIU offers a diverse range of undergraduate and graduate programs, including arts, sciences, business, education, and trades. The university boasts a stunning campus surrounded by natural beauty, offering an inspiring environment for study and exploration.

Click on the link to about VIU.

Words from the Classroom

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Johnathan Warawa

As an undergraduate computer science student, I took four calculus courses with Muhammad. In addition to being very approachable and accommodating, Muhammad always motivated me to think beyond the textbook and develop a deeper appreciation for and interest in the theory behind the math, which drove me to journey further into math and work towards a minor in Mathematics.

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I have had the greatest pleasure of being tutored by Dr. Awais through Calculus I, II and III. I confidently state that he cares a lot about his students learning and goes beyond to apply their feedback for course improvement.

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Thomas Martin

When I took Calculus 2 and 3, what mattered to me was grasping the material thoroughly to do well in my other endeavors. Dr. Awais provided every opportunity to succeed in his course and accomplish my goals, more then that, we also had a really great class full of engagement and I made some good friends in it!

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Markus Sekhon

Professor Awais sparked my love for Mathematics, emphasizing intuition in complex concepts. His deep care for our success and well-being truly set him apart. Wonderful educator, an even better person.

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Max Luca

As someone who never felt confident in math, Dr. Awais's encouragement and support were invaluable. Their approachable office and willingness to provide extra resources made all the difference in my understanding and results.

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Erin Wong

Professor Awais's teaching style completely transformed my understanding of basic Calculus. Thanks to their guidance and plenty of extra time, I not only aced my Calculus exams but developed a genuine love for the subject.